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Finding the Fourth Proportional to 24,337.82, 36,511.24 and 7,702.04

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Solution

The fourth proportional to 24,337.82, 36,511.24 and 7,702.04 is: 11,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337.82 : 36,511.24 = 7,702.04 : x
  2. Step 2: Convert to fraction form
    24,337.82/36,511.24 = 7,702.04/x
  3. Step 3: Cross multiply
    24,337.82x = 36,511.24 × 7,702.04
  4. Step 4: Simplify right side
    24,337.82x = 281,211,030.93
  5. Step 5: Solve for x
    x = 281,211,030.93/24,337.82
  6. Step 6: Final answer
    x = 11,554.49

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1.5x scale

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.