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Finding the Fourth Proportional to 18,142.10, 25,036.92 and 10,075.78

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Solution

The fourth proportional to 18,142.10, 25,036.92 and 10,075.78 is: 13,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.10 : 25,036.92 = 10,075.78 : x
  2. Step 2: Convert to fraction form
    18,142.10/25,036.92 = 10,075.78/x
  3. Step 3: Cross multiply
    18,142.10x = 25,036.92 × 10,075.78
  4. Step 4: Simplify right side
    18,142.10x = 252,266,545.89
  5. Step 5: Solve for x
    x = 252,266,545.89/18,142.10
  6. Step 6: Final answer
    x = 13,905.04

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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.