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Finding the Fourth Proportional to 24,342.96, 36,514.68 and 7,702.68

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Solution

The fourth proportional to 24,342.96, 36,514.68 and 7,702.68 is: 11,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.96 : 36,514.68 = 7,702.68 : x
  2. Step 2: Convert to fraction form
    24,342.96/36,514.68 = 7,702.68/x
  3. Step 3: Cross multiply
    24,342.96x = 36,514.68 × 7,702.68
  4. Step 4: Simplify right side
    24,342.96x = 281,260,895.34
  5. Step 5: Solve for x
    x = 281,260,895.34/24,342.96
  6. Step 6: Final answer
    x = 11,554.10

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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.