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Finding the Fourth Proportional to 24,491.17, 33,795.88 and 13,878.15

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Solution

The fourth proportional to 24,491.17, 33,795.88 and 13,878.15 is: 19,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491.17 : 33,795.88 = 13,878.15 : x
  2. Step 2: Convert to fraction form
    24,491.17/33,795.88 = 13,878.15/x
  3. Step 3: Cross multiply
    24,491.17x = 33,795.88 × 13,878.15
  4. Step 4: Simplify right side
    24,491.17x = 469,024,292.02
  5. Step 5: Solve for x
    x = 469,024,292.02/24,491.17
  6. Step 6: Final answer
    x = 19,150.75

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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.