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Finding the Fourth Proportional to 24,417.07, 36,631.13 and 7,778.05

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Solution

The fourth proportional to 24,417.07, 36,631.13 and 7,778.05 is: 11,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.07 : 36,631.13 = 7,778.05 : x
  2. Step 2: Convert to fraction form
    24,417.07/36,631.13 = 7,778.05/x
  3. Step 3: Cross multiply
    24,417.07x = 36,631.13 × 7,778.05
  4. Step 4: Simplify right side
    24,417.07x = 284,918,630.23
  5. Step 5: Solve for x
    x = 284,918,630.23/24,417.07
  6. Step 6: Final answer
    x = 11,668.83

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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.