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Finding the Fourth Proportional to 21,287.60, 31,892.48 and 15,429.68

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Solution

The fourth proportional to 21,287.60, 31,892.48 and 15,429.68 is: 23,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,287.60 : 31,892.48 = 15,429.68 : x
  2. Step 2: Convert to fraction form
    21,287.60/31,892.48 = 15,429.68/x
  3. Step 3: Cross multiply
    21,287.60x = 31,892.48 × 15,429.68
  4. Step 4: Simplify right side
    21,287.60x = 492,090,760.81
  5. Step 5: Solve for x
    x = 492,090,760.81/21,287.60
  6. Step 6: Final answer
    x = 23,116.31

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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.