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Finding the Fourth Proportional to 24,129.29, 36,144.66 and 12,417.91

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Solution

The fourth proportional to 24,129.29, 36,144.66 and 12,417.91 is: 18,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,129.29 : 36,144.66 = 12,417.91 : x
  2. Step 2: Convert to fraction form
    24,129.29/36,144.66 = 12,417.91/x
  3. Step 3: Cross multiply
    24,129.29x = 36,144.66 × 12,417.91
  4. Step 4: Simplify right side
    24,129.29x = 448,841,091.07
  5. Step 5: Solve for x
    x = 448,841,091.07/24,129.29
  6. Step 6: Final answer
    x = 18,601.50

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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.