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Finding the Fourth Proportional to 13,431.90, 20,158.02 and 9,681.87

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Solution

The fourth proportional to 13,431.90, 20,158.02 and 9,681.87 is: 14,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.90 : 20,158.02 = 9,681.87 : x
  2. Step 2: Convert to fraction form
    13,431.90/20,158.02 = 9,681.87/x
  3. Step 3: Cross multiply
    13,431.90x = 20,158.02 × 9,681.87
  4. Step 4: Simplify right side
    13,431.90x = 195,167,329.10
  5. Step 5: Solve for x
    x = 195,167,329.10/13,431.90
  6. Step 6: Final answer
    x = 14,530.14

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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.