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Finding the Fourth Proportional to 22,847.45, 31,530.17 and 12,776.31

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Solution

The fourth proportional to 22,847.45, 31,530.17 and 12,776.31 is: 17,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.45 : 31,530.17 = 12,776.31 : x
  2. Step 2: Convert to fraction form
    22,847.45/31,530.17 = 12,776.31/x
  3. Step 3: Cross multiply
    22,847.45x = 31,530.17 × 12,776.31
  4. Step 4: Simplify right side
    22,847.45x = 402,839,258.21
  5. Step 5: Solve for x
    x = 402,839,258.21/22,847.45
  6. Step 6: Final answer
    x = 17,631.70

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