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Finding the Fourth Proportional to 16,074.95, 22,179.84 and 9,702.58

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Solution

The fourth proportional to 16,074.95, 22,179.84 and 9,702.58 is: 13,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.95 : 22,179.84 = 9,702.58 : x
  2. Step 2: Convert to fraction form
    16,074.95/22,179.84 = 9,702.58/x
  3. Step 3: Cross multiply
    16,074.95x = 22,179.84 × 9,702.58
  4. Step 4: Simplify right side
    16,074.95x = 215,201,671.99
  5. Step 5: Solve for x
    x = 215,201,671.99/16,074.95
  6. Step 6: Final answer
    x = 13,387.39

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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.