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Finding the Fourth Proportional to 24,897.74, 34,363.31 and 14,832

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Solution

The fourth proportional to 24,897.74, 34,363.31 and 14,832 is: 20,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.74 : 34,363.31 = 14,832 : x
  2. Step 2: Convert to fraction form
    24,897.74/34,363.31 = 14,832/x
  3. Step 3: Cross multiply
    24,897.74x = 34,363.31 × 14,832
  4. Step 4: Simplify right side
    24,897.74x = 509,676,539.76
  5. Step 5: Solve for x
    x = 509,676,539.76/24,897.74
  6. Step 6: Final answer
    x = 20,470.80

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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.