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Finding the Fourth Proportional to 24,355.66, 33,614 and 13,748.71

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Solution

The fourth proportional to 24,355.66, 33,614 and 13,748.71 is: 18,975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,355.66 : 33,614 = 13,748.71 : x
  2. Step 2: Convert to fraction form
    24,355.66/33,614 = 13,748.71/x
  3. Step 3: Cross multiply
    24,355.66x = 33,614 × 13,748.71
  4. Step 4: Simplify right side
    24,355.66x = 462,149,137.94
  5. Step 5: Solve for x
    x = 462,149,137.94/24,355.66
  6. Step 6: Final answer
    x = 18,975.02

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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.