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Finding the Fourth Proportional to 25,257, 34,854.66 and 14,079

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Solution

The fourth proportional to 25,257, 34,854.66 and 14,079 is: 19,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257 : 34,854.66 = 14,079 : x
  2. Step 2: Convert to fraction form
    25,257/34,854.66 = 14,079/x
  3. Step 3: Cross multiply
    25,257x = 34,854.66 × 14,079
  4. Step 4: Simplify right side
    25,257x = 490,718,758.14
  5. Step 5: Solve for x
    x = 490,718,758.14/25,257
  6. Step 6: Final answer
    x = 19,429.02

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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.