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Finding the Fourth Proportional to 13,373.89, 18,454.57 and 7,405.40

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Solution

The fourth proportional to 13,373.89, 18,454.57 and 7,405.40 is: 10,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,373.89 : 18,454.57 = 7,405.40 : x
  2. Step 2: Convert to fraction form
    13,373.89/18,454.57 = 7,405.40/x
  3. Step 3: Cross multiply
    13,373.89x = 18,454.57 × 7,405.40
  4. Step 4: Simplify right side
    13,373.89x = 136,663,500.30
  5. Step 5: Solve for x
    x = 136,663,500.30/13,373.89
  6. Step 6: Final answer
    x = 10,218.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.