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Finding the Fourth Proportional to 19,681.80, 29,513.98 and 5,638.62

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Solution

The fourth proportional to 19,681.80, 29,513.98 and 5,638.62 is: 8,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.80 : 29,513.98 = 5,638.62 : x
  2. Step 2: Convert to fraction form
    19,681.80/29,513.98 = 5,638.62/x
  3. Step 3: Cross multiply
    19,681.80x = 29,513.98 × 5,638.62
  4. Step 4: Simplify right side
    19,681.80x = 166,418,117.91
  5. Step 5: Solve for x
    x = 166,418,117.91/19,681.80
  6. Step 6: Final answer
    x = 8,455.43

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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.