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Finding the Fourth Proportional to 22,565.46, 31,141.47 and 12,494.32

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Solution

The fourth proportional to 22,565.46, 31,141.47 and 12,494.32 is: 17,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,565.46 : 31,141.47 = 12,494.32 : x
  2. Step 2: Convert to fraction form
    22,565.46/31,141.47 = 12,494.32/x
  3. Step 3: Cross multiply
    22,565.46x = 31,141.47 × 12,494.32
  4. Step 4: Simplify right side
    22,565.46x = 389,091,491.45
  5. Step 5: Solve for x
    x = 389,091,491.45/22,565.46
  6. Step 6: Final answer
    x = 17,242.79

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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.