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Finding the Fourth Proportional to 24,337.95, 36,511.43 and 7,702.17

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Solution

The fourth proportional to 24,337.95, 36,511.43 and 7,702.17 is: 11,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337.95 : 36,511.43 = 7,702.17 : x
  2. Step 2: Convert to fraction form
    24,337.95/36,511.43 = 7,702.17/x
  3. Step 3: Cross multiply
    24,337.95x = 36,511.43 × 7,702.17
  4. Step 4: Simplify right side
    24,337.95x = 281,217,065.37
  5. Step 5: Solve for x
    x = 281,217,065.37/24,337.95
  6. Step 6: Final answer
    x = 11,554.68

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