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Finding the Fourth Proportional to 17,593.40, 24,277.37 and 10,422.07

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Solution

The fourth proportional to 17,593.40, 24,277.37 and 10,422.07 is: 14,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,593.40 : 24,277.37 = 10,422.07 : x
  2. Step 2: Convert to fraction form
    17,593.40/24,277.37 = 10,422.07/x
  3. Step 3: Cross multiply
    17,593.40x = 24,277.37 × 10,422.07
  4. Step 4: Simplify right side
    17,593.40x = 253,020,395.38
  5. Step 5: Solve for x
    x = 253,020,395.38/17,593.40
  6. Step 6: Final answer
    x = 14,381.55

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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.