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Finding the Fourth Proportional to 17,468.29, 26,184.91 and 8,114.87

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Solution

The fourth proportional to 17,468.29, 26,184.91 and 8,114.87 is: 12,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.29 : 26,184.91 = 8,114.87 : x
  2. Step 2: Convert to fraction form
    17,468.29/26,184.91 = 8,114.87/x
  3. Step 3: Cross multiply
    17,468.29x = 26,184.91 × 8,114.87
  4. Step 4: Simplify right side
    17,468.29x = 212,487,140.61
  5. Step 5: Solve for x
    x = 212,487,140.61/17,468.29
  6. Step 6: Final answer
    x = 12,164.16

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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.