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Finding the Fourth Proportional to 22,765.60, 34,148.40 and 7,184.44

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Solution

The fourth proportional to 22,765.60, 34,148.40 and 7,184.44 is: 10,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.60 : 34,148.40 = 7,184.44 : x
  2. Step 2: Convert to fraction form
    22,765.60/34,148.40 = 7,184.44/x
  3. Step 3: Cross multiply
    22,765.60x = 34,148.40 × 7,184.44
  4. Step 4: Simplify right side
    22,765.60x = 245,337,018.58
  5. Step 5: Solve for x
    x = 245,337,018.58/22,765.60
  6. Step 6: Final answer
    x = 10,776.66

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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.