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Finding the Fourth Proportional to 16,709.60, 25,062.22 and 6,320

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Solution

The fourth proportional to 16,709.60, 25,062.22 and 6,320 is: 9,479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.60 : 25,062.22 = 6,320 : x
  2. Step 2: Convert to fraction form
    16,709.60/25,062.22 = 6,320/x
  3. Step 3: Cross multiply
    16,709.60x = 25,062.22 × 6,320
  4. Step 4: Simplify right side
    16,709.60x = 158,393,230.40
  5. Step 5: Solve for x
    x = 158,393,230.40/16,709.60
  6. Step 6: Final answer
    x = 9,479.18

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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.