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Finding the Fourth Proportional to 22,589.76, 31,170.24 and 14,200.32

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Solution

The fourth proportional to 22,589.76, 31,170.24 and 14,200.32 is: 19,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.76 : 31,170.24 = 14,200.32 : x
  2. Step 2: Convert to fraction form
    22,589.76/31,170.24 = 14,200.32/x
  3. Step 3: Cross multiply
    22,589.76x = 31,170.24 × 14,200.32
  4. Step 4: Simplify right side
    22,589.76x = 442,627,382.48
  5. Step 5: Solve for x
    x = 442,627,382.48/22,589.76
  6. Step 6: Final answer
    x = 19,594.16

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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.