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Finding the Fourth Proportional to 25,507.74, 35,191.98 and 15,941.10

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Solution

The fourth proportional to 25,507.74, 35,191.98 and 15,941.10 is: 21,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.74 : 35,191.98 = 15,941.10 : x
  2. Step 2: Convert to fraction form
    25,507.74/35,191.98 = 15,941.10/x
  3. Step 3: Cross multiply
    25,507.74x = 35,191.98 × 15,941.10
  4. Step 4: Simplify right side
    25,507.74x = 560,998,872.38
  5. Step 5: Solve for x
    x = 560,998,872.38/25,507.74
  6. Step 6: Final answer
    x = 21,993.28

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Why These Related Problems?

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