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Finding the Fourth Proportional to 24,312.88, 33,551.31 and 13,702.30

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Solution

The fourth proportional to 24,312.88, 33,551.31 and 13,702.30 is: 18,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.88 : 33,551.31 = 13,702.30 : x
  2. Step 2: Convert to fraction form
    24,312.88/33,551.31 = 13,702.30/x
  3. Step 3: Cross multiply
    24,312.88x = 33,551.31 × 13,702.30
  4. Step 4: Simplify right side
    24,312.88x = 459,730,115.01
  5. Step 5: Solve for x
    x = 459,730,115.01/24,312.88
  6. Step 6: Final answer
    x = 18,908.91

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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.