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Finding the Fourth Proportional to 22,847.38, 31,530.96 and 12,775.62

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Solution

The fourth proportional to 22,847.38, 31,530.96 and 12,775.62 is: 17,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.38 : 31,530.96 = 12,775.62 : x
  2. Step 2: Convert to fraction form
    22,847.38/31,530.96 = 12,775.62/x
  3. Step 3: Cross multiply
    22,847.38x = 31,530.96 × 12,775.62
  4. Step 4: Simplify right side
    22,847.38x = 402,827,563.20
  5. Step 5: Solve for x
    x = 402,827,563.20/22,847.38
  6. Step 6: Final answer
    x = 17,631.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.