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Finding the Fourth Proportional to 18,860.16, 28,280.52 and 8,463

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Solution

The fourth proportional to 18,860.16, 28,280.52 and 8,463 is: 12,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,860.16 : 28,280.52 = 8,463 : x
  2. Step 2: Convert to fraction form
    18,860.16/28,280.52 = 8,463/x
  3. Step 3: Cross multiply
    18,860.16x = 28,280.52 × 8,463
  4. Step 4: Simplify right side
    18,860.16x = 239,338,040.76
  5. Step 5: Solve for x
    x = 239,338,040.76/18,860.16
  6. Step 6: Final answer
    x = 12,690.14

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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.