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Finding the Fourth Proportional to 12,084.76, 16,693.80 and 11,454.20

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Solution

The fourth proportional to 12,084.76, 16,693.80 and 11,454.20 is: 15,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.76 : 16,693.80 = 11,454.20 : x
  2. Step 2: Convert to fraction form
    12,084.76/16,693.80 = 11,454.20/x
  3. Step 3: Cross multiply
    12,084.76x = 16,693.80 × 11,454.20
  4. Step 4: Simplify right side
    12,084.76x = 191,214,123.96
  5. Step 5: Solve for x
    x = 191,214,123.96/12,084.76
  6. Step 6: Final answer
    x = 15,822.75

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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.