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Finding the Fourth Proportional to 25,465.88, 38,205.43 and 9,671.19

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Solution

The fourth proportional to 25,465.88, 38,205.43 and 9,671.19 is: 14,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.88 : 38,205.43 = 9,671.19 : x
  2. Step 2: Convert to fraction form
    25,465.88/38,205.43 = 9,671.19/x
  3. Step 3: Cross multiply
    25,465.88x = 38,205.43 × 9,671.19
  4. Step 4: Simplify right side
    25,465.88x = 369,491,972.56
  5. Step 5: Solve for x
    x = 369,491,972.56/25,465.88
  6. Step 6: Final answer
    x = 14,509.30

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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.