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Finding the Fourth Proportional to 16,203.71, 24,263.51 and 13,878.65

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Solution

The fourth proportional to 16,203.71, 24,263.51 and 13,878.65 is: 20,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203.71 : 24,263.51 = 13,878.65 : x
  2. Step 2: Convert to fraction form
    16,203.71/24,263.51 = 13,878.65/x
  3. Step 3: Cross multiply
    16,203.71x = 24,263.51 × 13,878.65
  4. Step 4: Simplify right side
    16,203.71x = 336,744,572.35
  5. Step 5: Solve for x
    x = 336,744,572.35/16,203.71
  6. Step 6: Final answer
    x = 20,781.95

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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.