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Finding the Fourth Proportional to 22,872.95, 31,568.00 and 13,180.53

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Solution

The fourth proportional to 22,872.95, 31,568.00 and 13,180.53 is: 18,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.95 : 31,568.00 = 13,180.53 : x
  2. Step 2: Convert to fraction form
    22,872.95/31,568.00 = 13,180.53/x
  3. Step 3: Cross multiply
    22,872.95x = 31,568.00 × 13,180.53
  4. Step 4: Simplify right side
    22,872.95x = 416,082,979.28
  5. Step 5: Solve for x
    x = 416,082,979.28/22,872.95
  6. Step 6: Final answer
    x = 18,191.05

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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.