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Finding the Fourth Proportional to 13,431.88, 20,142.12 and 6,403.76

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Solution

The fourth proportional to 13,431.88, 20,142.12 and 6,403.76 is: 9,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.88 : 20,142.12 = 6,403.76 : x
  2. Step 2: Convert to fraction form
    13,431.88/20,142.12 = 6,403.76/x
  3. Step 3: Cross multiply
    13,431.88x = 20,142.12 × 6,403.76
  4. Step 4: Simplify right side
    13,431.88x = 128,985,265.19
  5. Step 5: Solve for x
    x = 128,985,265.19/13,431.88
  6. Step 6: Final answer
    x = 9,602.92

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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.