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Finding the Fourth Proportional to 24,312.96, 36,469.68 and 7,672.68

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Solution

The fourth proportional to 24,312.96, 36,469.68 and 7,672.68 is: 11,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.96 : 36,469.68 = 7,672.68 : x
  2. Step 2: Convert to fraction form
    24,312.96/36,469.68 = 7,672.68/x
  3. Step 3: Cross multiply
    24,312.96x = 36,469.68 × 7,672.68
  4. Step 4: Simplify right side
    24,312.96x = 279,820,184.34
  5. Step 5: Solve for x
    x = 279,820,184.34/24,312.96
  6. Step 6: Final answer
    x = 11,509.10

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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.