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Finding the Fourth Proportional to 10,314.43, 14,197.95 and 8,902.60

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Solution

The fourth proportional to 10,314.43, 14,197.95 and 8,902.60 is: 12,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.43 : 14,197.95 = 8,902.60 : x
  2. Step 2: Convert to fraction form
    10,314.43/14,197.95 = 8,902.60/x
  3. Step 3: Cross multiply
    10,314.43x = 14,197.95 × 8,902.60
  4. Step 4: Simplify right side
    10,314.43x = 126,398,669.67
  5. Step 5: Solve for x
    x = 126,398,669.67/10,314.43
  6. Step 6: Final answer
    x = 12,254.55

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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.