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Finding the Fourth Proportional to 17,657.47, 24,348.94 and 13,174.12

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Solution

The fourth proportional to 17,657.47, 24,348.94 and 13,174.12 is: 18,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.47 : 24,348.94 = 13,174.12 : x
  2. Step 2: Convert to fraction form
    17,657.47/24,348.94 = 13,174.12/x
  3. Step 3: Cross multiply
    17,657.47x = 24,348.94 × 13,174.12
  4. Step 4: Simplify right side
    17,657.47x = 320,775,934.77
  5. Step 5: Solve for x
    x = 320,775,934.77/17,657.47
  6. Step 6: Final answer
    x = 18,166.58

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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.