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Finding the Fourth Proportional to 17,578.15, 24,269.18 and 15,686.49

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Solution

The fourth proportional to 17,578.15, 24,269.18 and 15,686.49 is: 21,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.15 : 24,269.18 = 15,686.49 : x
  2. Step 2: Convert to fraction form
    17,578.15/24,269.18 = 15,686.49/x
  3. Step 3: Cross multiply
    17,578.15x = 24,269.18 × 15,686.49
  4. Step 4: Simplify right side
    17,578.15x = 380,698,350.19
  5. Step 5: Solve for x
    x = 380,698,350.19/17,578.15
  6. Step 6: Final answer
    x = 21,657.47

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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.