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Finding the Fourth Proportional to 14,783.80, 22,175.70 and 7,761.10

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Solution

The fourth proportional to 14,783.80, 22,175.70 and 7,761.10 is: 11,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.80 : 22,175.70 = 7,761.10 : x
  2. Step 2: Convert to fraction form
    14,783.80/22,175.70 = 7,761.10/x
  3. Step 3: Cross multiply
    14,783.80x = 22,175.70 × 7,761.10
  4. Step 4: Simplify right side
    14,783.80x = 172,107,825.27
  5. Step 5: Solve for x
    x = 172,107,825.27/14,783.80
  6. Step 6: Final answer
    x = 11,641.65

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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.