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Finding the Fourth Proportional to 23,800.50, 35,705.82 and 7,159.14

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Solution

The fourth proportional to 23,800.50, 35,705.82 and 7,159.14 is: 10,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.50 : 35,705.82 = 7,159.14 : x
  2. Step 2: Convert to fraction form
    23,800.50/35,705.82 = 7,159.14/x
  3. Step 3: Cross multiply
    23,800.50x = 35,705.82 × 7,159.14
  4. Step 4: Simplify right side
    23,800.50x = 255,622,964.19
  5. Step 5: Solve for x
    x = 255,622,964.19/23,800.50
  6. Step 6: Final answer
    x = 10,740.24

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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.