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Finding the Fourth Proportional to 17,605.98, 24,294.87 and 10,152.54

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Solution

The fourth proportional to 17,605.98, 24,294.87 and 10,152.54 is: 14,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.98 : 24,294.87 = 10,152.54 : x
  2. Step 2: Convert to fraction form
    17,605.98/24,294.87 = 10,152.54/x
  3. Step 3: Cross multiply
    17,605.98x = 24,294.87 × 10,152.54
  4. Step 4: Simplify right side
    17,605.98x = 246,654,639.47
  5. Step 5: Solve for x
    x = 246,654,639.47/17,605.98
  6. Step 6: Final answer
    x = 14,009.71

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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.