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Finding the Fourth Proportional to 23,689, 35,533.68 and 8,106.76

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Solution

The fourth proportional to 23,689, 35,533.68 and 8,106.76 is: 12,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689 : 35,533.68 = 8,106.76 : x
  2. Step 2: Convert to fraction form
    23,689/35,533.68 = 8,106.76/x
  3. Step 3: Cross multiply
    23,689x = 35,533.68 × 8,106.76
  4. Step 4: Simplify right side
    23,689x = 288,063,015.68
  5. Step 5: Solve for x
    x = 288,063,015.68/23,689
  6. Step 6: Final answer
    x = 12,160.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.