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Finding the Fourth Proportional to 13,697.60, 18,902.40 and 8,110.40

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Solution

The fourth proportional to 13,697.60, 18,902.40 and 8,110.40 is: 11,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.60 : 18,902.40 = 8,110.40 : x
  2. Step 2: Convert to fraction form
    13,697.60/18,902.40 = 8,110.40/x
  3. Step 3: Cross multiply
    13,697.60x = 18,902.40 × 8,110.40
  4. Step 4: Simplify right side
    13,697.60x = 153,306,024.96
  5. Step 5: Solve for x
    x = 153,306,024.96/13,697.60
  6. Step 6: Final answer
    x = 11,192.18

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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.