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Finding the Fourth Proportional to 13,403.40, 20,126.70 and 9,731.40

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Solution

The fourth proportional to 13,403.40, 20,126.70 and 9,731.40 is: 14,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.40 : 20,126.70 = 9,731.40 : x
  2. Step 2: Convert to fraction form
    13,403.40/20,126.70 = 9,731.40/x
  3. Step 3: Cross multiply
    13,403.40x = 20,126.70 × 9,731.40
  4. Step 4: Simplify right side
    13,403.40x = 195,860,968.38
  5. Step 5: Solve for x
    x = 195,860,968.38/13,403.40
  6. Step 6: Final answer
    x = 14,612.78

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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.