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Finding the Fourth Proportional to 24,312.81, 33,552.09 and 13,702.62

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Solution

The fourth proportional to 24,312.81, 33,552.09 and 13,702.62 is: 18,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.81 : 33,552.09 = 13,702.62 : x
  2. Step 2: Convert to fraction form
    24,312.81/33,552.09 = 13,702.62/x
  3. Step 3: Cross multiply
    24,312.81x = 33,552.09 × 13,702.62
  4. Step 4: Simplify right side
    24,312.81x = 459,751,539.48
  5. Step 5: Solve for x
    x = 459,751,539.48/24,312.81
  6. Step 6: Final answer
    x = 18,909.85

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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.