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Finding the Fourth Proportional to 17,560.38, 24,232.08 and 10,006.47

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Solution

The fourth proportional to 17,560.38, 24,232.08 and 10,006.47 is: 13,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,560.38 : 24,232.08 = 10,006.47 : x
  2. Step 2: Convert to fraction form
    17,560.38/24,232.08 = 10,006.47/x
  3. Step 3: Cross multiply
    17,560.38x = 24,232.08 × 10,006.47
  4. Step 4: Simplify right side
    17,560.38x = 242,477,581.56
  5. Step 5: Solve for x
    x = 242,477,581.56/17,560.38
  6. Step 6: Final answer
    x = 13,808.22

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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.