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Finding the Fourth Proportional to 12,510.50, 18,774.28 and 6,671.20

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Solution

The fourth proportional to 12,510.50, 18,774.28 and 6,671.20 is: 10,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,510.50 : 18,774.28 = 6,671.20 : x
  2. Step 2: Convert to fraction form
    12,510.50/18,774.28 = 6,671.20/x
  3. Step 3: Cross multiply
    12,510.50x = 18,774.28 × 6,671.20
  4. Step 4: Simplify right side
    12,510.50x = 125,246,976.74
  5. Step 5: Solve for x
    x = 125,246,976.74/12,510.50
  6. Step 6: Final answer
    x = 10,011.35

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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.