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Finding the Fourth Proportional to 13,386.98, 20,064.54 and 10,089.20

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Solution

The fourth proportional to 13,386.98, 20,064.54 and 10,089.20 is: 15,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.98 : 20,064.54 = 10,089.20 : x
  2. Step 2: Convert to fraction form
    13,386.98/20,064.54 = 10,089.20/x
  3. Step 3: Cross multiply
    13,386.98x = 20,064.54 × 10,089.20
  4. Step 4: Simplify right side
    13,386.98x = 202,435,156.97
  5. Step 5: Solve for x
    x = 202,435,156.97/13,386.98
  6. Step 6: Final answer
    x = 15,121.79

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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.