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Finding the Fourth Proportional to 24,731.40, 34,131.00 and 13,972.54

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Solution

The fourth proportional to 24,731.40, 34,131.00 and 13,972.54 is: 19,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.40 : 34,131.00 = 13,972.54 : x
  2. Step 2: Convert to fraction form
    24,731.40/34,131.00 = 13,972.54/x
  3. Step 3: Cross multiply
    24,731.40x = 34,131.00 × 13,972.54
  4. Step 4: Simplify right side
    24,731.40x = 476,896,793.81
  5. Step 5: Solve for x
    x = 476,896,793.81/24,731.40
  6. Step 6: Final answer
    x = 19,283.05

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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.