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Finding the Fourth Proportional to 25,422.93, 38,098.02 and 14,306.31

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Solution

The fourth proportional to 25,422.93, 38,098.02 and 14,306.31 is: 21,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422.93 : 38,098.02 = 14,306.31 : x
  2. Step 2: Convert to fraction form
    25,422.93/38,098.02 = 14,306.31/x
  3. Step 3: Cross multiply
    25,422.93x = 38,098.02 × 14,306.31
  4. Step 4: Simplify right side
    25,422.93x = 545,042,084.51
  5. Step 5: Solve for x
    x = 545,042,084.51/25,422.93
  6. Step 6: Final answer
    x = 21,439.00

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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.