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Finding the Fourth Proportional to 25,900.28, 38,854.26 and 9,483

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Solution

The fourth proportional to 25,900.28, 38,854.26 and 9,483 is: 14,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.28 : 38,854.26 = 9,483 : x
  2. Step 2: Convert to fraction form
    25,900.28/38,854.26 = 9,483/x
  3. Step 3: Cross multiply
    25,900.28x = 38,854.26 × 9,483
  4. Step 4: Simplify right side
    25,900.28x = 368,454,947.58
  5. Step 5: Solve for x
    x = 368,454,947.58/25,900.28
  6. Step 6: Final answer
    x = 14,225.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.