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Finding the Fourth Proportional to 18,086.50, 24,959.54 and 10,020.32

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Solution

The fourth proportional to 18,086.50, 24,959.54 and 10,020.32 is: 13,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,086.50 : 24,959.54 = 10,020.32 : x
  2. Step 2: Convert to fraction form
    18,086.50/24,959.54 = 10,020.32/x
  3. Step 3: Cross multiply
    18,086.50x = 24,959.54 × 10,020.32
  4. Step 4: Simplify right side
    18,086.50x = 250,102,693.31
  5. Step 5: Solve for x
    x = 250,102,693.31/18,086.50
  6. Step 6: Final answer
    x = 13,828.14

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