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Finding the Fourth Proportional to 21,127.42, 31,698.78 and 9,892.54

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Solution

The fourth proportional to 21,127.42, 31,698.78 and 9,892.54 is: 14,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,127.42 : 31,698.78 = 9,892.54 : x
  2. Step 2: Convert to fraction form
    21,127.42/31,698.78 = 9,892.54/x
  3. Step 3: Cross multiply
    21,127.42x = 31,698.78 × 9,892.54
  4. Step 4: Simplify right side
    21,127.42x = 313,581,449.10
  5. Step 5: Solve for x
    x = 313,581,449.10/21,127.42
  6. Step 6: Final answer
    x = 14,842.39

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