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Finding the Fourth Proportional to 25,271.95, 34,882.23 and 14,665

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Solution

The fourth proportional to 25,271.95, 34,882.23 and 14,665 is: 20,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,271.95 : 34,882.23 = 14,665 : x
  2. Step 2: Convert to fraction form
    25,271.95/34,882.23 = 14,665/x
  3. Step 3: Cross multiply
    25,271.95x = 34,882.23 × 14,665
  4. Step 4: Simplify right side
    25,271.95x = 511,547,902.95
  5. Step 5: Solve for x
    x = 511,547,902.95/25,271.95
  6. Step 6: Final answer
    x = 20,241.73

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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.