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Finding the Fourth Proportional to 17,614.95, 24,316.23 and 10,540

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Solution

The fourth proportional to 17,614.95, 24,316.23 and 10,540 is: 14,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.95 : 24,316.23 = 10,540 : x
  2. Step 2: Convert to fraction form
    17,614.95/24,316.23 = 10,540/x
  3. Step 3: Cross multiply
    17,614.95x = 24,316.23 × 10,540
  4. Step 4: Simplify right side
    17,614.95x = 256,293,064.20
  5. Step 5: Solve for x
    x = 256,293,064.20/17,614.95
  6. Step 6: Final answer
    x = 14,549.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.