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Finding the Fourth Proportional to 19,877.16, 29,822.22 and 10,641

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Solution

The fourth proportional to 19,877.16, 29,822.22 and 10,641 is: 15,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.16 : 29,822.22 = 10,641 : x
  2. Step 2: Convert to fraction form
    19,877.16/29,822.22 = 10,641/x
  3. Step 3: Cross multiply
    19,877.16x = 29,822.22 × 10,641
  4. Step 4: Simplify right side
    19,877.16x = 317,338,243.02
  5. Step 5: Solve for x
    x = 317,338,243.02/19,877.16
  6. Step 6: Final answer
    x = 15,964.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.