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Finding the Fourth Proportional to 17,503.04, 24,141.84 and 10,424

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Solution

The fourth proportional to 17,503.04, 24,141.84 and 10,424 is: 14,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,503.04 : 24,141.84 = 10,424 : x
  2. Step 2: Convert to fraction form
    17,503.04/24,141.84 = 10,424/x
  3. Step 3: Cross multiply
    17,503.04x = 24,141.84 × 10,424
  4. Step 4: Simplify right side
    17,503.04x = 251,654,540.16
  5. Step 5: Solve for x
    x = 251,654,540.16/17,503.04
  6. Step 6: Final answer
    x = 14,377.76

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