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Finding the Fourth Proportional to 24,312.96, 36,460.80 and 7,668

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Solution

The fourth proportional to 24,312.96, 36,460.80 and 7,668 is: 11,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.96 : 36,460.80 = 7,668 : x
  2. Step 2: Convert to fraction form
    24,312.96/36,460.80 = 7,668/x
  3. Step 3: Cross multiply
    24,312.96x = 36,460.80 × 7,668
  4. Step 4: Simplify right side
    24,312.96x = 279,581,414.40
  5. Step 5: Solve for x
    x = 279,581,414.40/24,312.96
  6. Step 6: Final answer
    x = 11,499.28

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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.