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Finding the Fourth Proportional to 24,526.56, 36,776.88 and 10,668

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Solution

The fourth proportional to 24,526.56, 36,776.88 and 10,668 is: 15,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,526.56 : 36,776.88 = 10,668 : x
  2. Step 2: Convert to fraction form
    24,526.56/36,776.88 = 10,668/x
  3. Step 3: Cross multiply
    24,526.56x = 36,776.88 × 10,668
  4. Step 4: Simplify right side
    24,526.56x = 392,335,755.84
  5. Step 5: Solve for x
    x = 392,335,755.84/24,526.56
  6. Step 6: Final answer
    x = 15,996.36

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Why These Related Problems?

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