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Finding the Fourth Proportional to 16,783.76, 23,159 and 9,708.80

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Solution

The fourth proportional to 16,783.76, 23,159 and 9,708.80 is: 13,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.76 : 23,159 = 9,708.80 : x
  2. Step 2: Convert to fraction form
    16,783.76/23,159 = 9,708.80/x
  3. Step 3: Cross multiply
    16,783.76x = 23,159 × 9,708.80
  4. Step 4: Simplify right side
    16,783.76x = 224,846,099.20
  5. Step 5: Solve for x
    x = 224,846,099.20/16,783.76
  6. Step 6: Final answer
    x = 13,396.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.