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Finding the Fourth Proportional to 24,515, 36,726.06 and 14,489.72

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Solution

The fourth proportional to 24,515, 36,726.06 and 14,489.72 is: 21,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515 : 36,726.06 = 14,489.72 : x
  2. Step 2: Convert to fraction form
    24,515/36,726.06 = 14,489.72/x
  3. Step 3: Cross multiply
    24,515x = 36,726.06 × 14,489.72
  4. Step 4: Simplify right side
    24,515x = 532,150,326.10
  5. Step 5: Solve for x
    x = 532,150,326.10/24,515
  6. Step 6: Final answer
    x = 21,707.13

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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.