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Finding the Fourth Proportional to 18,085.16, 24,957.96 and 10,129.08

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Solution

The fourth proportional to 18,085.16, 24,957.96 and 10,129.08 is: 13,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,085.16 : 24,957.96 = 10,129.08 : x
  2. Step 2: Convert to fraction form
    18,085.16/24,957.96 = 10,129.08/x
  3. Step 3: Cross multiply
    18,085.16x = 24,957.96 × 10,129.08
  4. Step 4: Simplify right side
    18,085.16x = 252,801,173.48
  5. Step 5: Solve for x
    x = 252,801,173.48/18,085.16
  6. Step 6: Final answer
    x = 13,978.38

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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.