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Finding the Fourth Proportional to 17,880.13, 24,674.85 and 9,922.87

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Solution

The fourth proportional to 17,880.13, 24,674.85 and 9,922.87 is: 13,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.13 : 24,674.85 = 9,922.87 : x
  2. Step 2: Convert to fraction form
    17,880.13/24,674.85 = 9,922.87/x
  3. Step 3: Cross multiply
    17,880.13x = 24,674.85 × 9,922.87
  4. Step 4: Simplify right side
    17,880.13x = 244,845,328.82
  5. Step 5: Solve for x
    x = 244,845,328.82/17,880.13
  6. Step 6: Final answer
    x = 13,693.71

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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.