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Finding the Fourth Proportional to 24,514.80, 36,774.45 and 7,647.90

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Solution

The fourth proportional to 24,514.80, 36,774.45 and 7,647.90 is: 11,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.80 : 36,774.45 = 7,647.90 : x
  2. Step 2: Convert to fraction form
    24,514.80/36,774.45 = 7,647.90/x
  3. Step 3: Cross multiply
    24,514.80x = 36,774.45 × 7,647.90
  4. Step 4: Simplify right side
    24,514.80x = 281,247,316.16
  5. Step 5: Solve for x
    x = 281,247,316.16/24,514.80
  6. Step 6: Final answer
    x = 11,472.55

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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.