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Finding the Fourth Proportional to 25,263, 34,863.66 and 14,085.72

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Solution

The fourth proportional to 25,263, 34,863.66 and 14,085.72 is: 19,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,263 : 34,863.66 = 14,085.72 : x
  2. Step 2: Convert to fraction form
    25,263/34,863.66 = 14,085.72/x
  3. Step 3: Cross multiply
    25,263x = 34,863.66 × 14,085.72
  4. Step 4: Simplify right side
    25,263x = 491,079,752.94
  5. Step 5: Solve for x
    x = 491,079,752.94/25,263
  6. Step 6: Final answer
    x = 19,438.70

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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.