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Finding the Fourth Proportional to 24,104.72, 36,167.20 and 12,998

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Solution

The fourth proportional to 24,104.72, 36,167.20 and 12,998 is: 19,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,104.72 : 36,167.20 = 12,998 : x
  2. Step 2: Convert to fraction form
    24,104.72/36,167.20 = 12,998/x
  3. Step 3: Cross multiply
    24,104.72x = 36,167.20 × 12,998
  4. Step 4: Simplify right side
    24,104.72x = 470,101,265.60
  5. Step 5: Solve for x
    x = 470,101,265.60/24,104.72
  6. Step 6: Final answer
    x = 19,502.46

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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.