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Finding the Fourth Proportional to 22,141.71, 30,538.28 and 14,184.68

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Solution

The fourth proportional to 22,141.71, 30,538.28 and 14,184.68 is: 19,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.71 : 30,538.28 = 14,184.68 : x
  2. Step 2: Convert to fraction form
    22,141.71/30,538.28 = 14,184.68/x
  3. Step 3: Cross multiply
    22,141.71x = 30,538.28 × 14,184.68
  4. Step 4: Simplify right side
    22,141.71x = 433,175,612.32
  5. Step 5: Solve for x
    x = 433,175,612.32/22,141.71
  6. Step 6: Final answer
    x = 19,563.78

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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.