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Finding the Fourth Proportional to 24,959.74, 34,444.23 and 13,781.50

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Solution

The fourth proportional to 24,959.74, 34,444.23 and 13,781.50 is: 19,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,959.74 : 34,444.23 = 13,781.50 : x
  2. Step 2: Convert to fraction form
    24,959.74/34,444.23 = 13,781.50/x
  3. Step 3: Cross multiply
    24,959.74x = 34,444.23 × 13,781.50
  4. Step 4: Simplify right side
    24,959.74x = 474,693,155.75
  5. Step 5: Solve for x
    x = 474,693,155.75/24,959.74
  6. Step 6: Final answer
    x = 19,018.35

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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.