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Finding the Fourth Proportional to 12,377.80, 18,569.40 and 4,056.40

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Solution

The fourth proportional to 12,377.80, 18,569.40 and 4,056.40 is: 6,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.80 : 18,569.40 = 4,056.40 : x
  2. Step 2: Convert to fraction form
    12,377.80/18,569.40 = 4,056.40/x
  3. Step 3: Cross multiply
    12,377.80x = 18,569.40 × 4,056.40
  4. Step 4: Simplify right side
    12,377.80x = 75,324,914.16
  5. Step 5: Solve for x
    x = 75,324,914.16/12,377.80
  6. Step 6: Final answer
    x = 6,085.48

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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.