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Finding the Fourth Proportional to 25,262, 34,862.28 and 14,084.72

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Solution

The fourth proportional to 25,262, 34,862.28 and 14,084.72 is: 19,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,262 : 34,862.28 = 14,084.72 : x
  2. Step 2: Convert to fraction form
    25,262/34,862.28 = 14,084.72/x
  3. Step 3: Cross multiply
    25,262x = 34,862.28 × 14,084.72
  4. Step 4: Simplify right side
    25,262x = 491,025,452.36
  5. Step 5: Solve for x
    x = 491,025,452.36/25,262
  6. Step 6: Final answer
    x = 19,437.32

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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.