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Finding the Fourth Proportional to 25,080, 34,610.58 and 13,902

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Solution

The fourth proportional to 25,080, 34,610.58 and 13,902 is: 19,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,080 : 34,610.58 = 13,902 : x
  2. Step 2: Convert to fraction form
    25,080/34,610.58 = 13,902/x
  3. Step 3: Cross multiply
    25,080x = 34,610.58 × 13,902
  4. Step 4: Simplify right side
    25,080x = 481,156,283.16
  5. Step 5: Solve for x
    x = 481,156,283.16/25,080
  6. Step 6: Final answer
    x = 19,184.86

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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.