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Finding the Fourth Proportional to 24,496.64, 36,736.96 and 9,702.88

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Solution

The fourth proportional to 24,496.64, 36,736.96 and 9,702.88 is: 14,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496.64 : 36,736.96 = 9,702.88 : x
  2. Step 2: Convert to fraction form
    24,496.64/36,736.96 = 9,702.88/x
  3. Step 3: Cross multiply
    24,496.64x = 36,736.96 × 9,702.88
  4. Step 4: Simplify right side
    24,496.64x = 356,454,314.44
  5. Step 5: Solve for x
    x = 356,454,314.44/24,496.64
  6. Step 6: Final answer
    x = 14,551.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.