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Finding the Fourth Proportional to 24,668.14, 37,002.12 and 11,513.20

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Solution

The fourth proportional to 24,668.14, 37,002.12 and 11,513.20 is: 17,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,668.14 : 37,002.12 = 11,513.20 : x
  2. Step 2: Convert to fraction form
    24,668.14/37,002.12 = 11,513.20/x
  3. Step 3: Cross multiply
    24,668.14x = 37,002.12 × 11,513.20
  4. Step 4: Simplify right side
    24,668.14x = 426,012,807.98
  5. Step 5: Solve for x
    x = 426,012,807.98/24,668.14
  6. Step 6: Final answer
    x = 17,269.76

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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.