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Finding the Fourth Proportional to 22,677.76, 34,016.59 and 6,037.80

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Solution

The fourth proportional to 22,677.76, 34,016.59 and 6,037.80 is: 9,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.76 : 34,016.59 = 6,037.80 : x
  2. Step 2: Convert to fraction form
    22,677.76/34,016.59 = 6,037.80/x
  3. Step 3: Cross multiply
    22,677.76x = 34,016.59 × 6,037.80
  4. Step 4: Simplify right side
    22,677.76x = 205,385,367.10
  5. Step 5: Solve for x
    x = 205,385,367.10/22,677.76
  6. Step 6: Final answer
    x = 9,056.69

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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.