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Finding the Fourth Proportional to 24,335.73, 36,486.72 and 9,546.15

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Solution

The fourth proportional to 24,335.73, 36,486.72 and 9,546.15 is: 14,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.73 : 36,486.72 = 9,546.15 : x
  2. Step 2: Convert to fraction form
    24,335.73/36,486.72 = 9,546.15/x
  3. Step 3: Cross multiply
    24,335.73x = 36,486.72 × 9,546.15
  4. Step 4: Simplify right side
    24,335.73x = 348,307,702.13
  5. Step 5: Solve for x
    x = 348,307,702.13/24,335.73
  6. Step 6: Final answer
    x = 14,312.61

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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.