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Finding the Fourth Proportional to 13,122.97, 19,681.63 and 3,760.47

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Solution

The fourth proportional to 13,122.97, 19,681.63 and 3,760.47 is: 5,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.97 : 19,681.63 = 3,760.47 : x
  2. Step 2: Convert to fraction form
    13,122.97/19,681.63 = 3,760.47/x
  3. Step 3: Cross multiply
    13,122.97x = 19,681.63 × 3,760.47
  4. Step 4: Simplify right side
    13,122.97x = 74,012,169.76
  5. Step 5: Solve for x
    x = 74,012,169.76/13,122.97
  6. Step 6: Final answer
    x = 5,639.90

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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.