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Finding the Fourth Proportional to 22,965.60, 31,690.17 and 12,895.15

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Solution

The fourth proportional to 22,965.60, 31,690.17 and 12,895.15 is: 17,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.60 : 31,690.17 = 12,895.15 : x
  2. Step 2: Convert to fraction form
    22,965.60/31,690.17 = 12,895.15/x
  3. Step 3: Cross multiply
    22,965.60x = 31,690.17 × 12,895.15
  4. Step 4: Simplify right side
    22,965.60x = 408,649,535.29
  5. Step 5: Solve for x
    x = 408,649,535.29/22,965.60
  6. Step 6: Final answer
    x = 17,793.98

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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.