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Finding the Fourth Proportional to 16,145.64, 22,280.28 and 8,975.54

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Solution

The fourth proportional to 16,145.64, 22,280.28 and 8,975.54 is: 12,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.64 : 22,280.28 = 8,975.54 : x
  2. Step 2: Convert to fraction form
    16,145.64/22,280.28 = 8,975.54/x
  3. Step 3: Cross multiply
    16,145.64x = 22,280.28 × 8,975.54
  4. Step 4: Simplify right side
    16,145.64x = 199,977,508.38
  5. Step 5: Solve for x
    x = 199,977,508.38/16,145.64
  6. Step 6: Final answer
    x = 12,385.85

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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.