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Finding the Fourth Proportional to 16,148.38, 22,285.03 and 8,880.78

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Solution

The fourth proportional to 16,148.38, 22,285.03 and 8,880.78 is: 12,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.38 : 22,285.03 = 8,880.78 : x
  2. Step 2: Convert to fraction form
    16,148.38/22,285.03 = 8,880.78/x
  3. Step 3: Cross multiply
    16,148.38x = 22,285.03 × 8,880.78
  4. Step 4: Simplify right side
    16,148.38x = 197,908,448.72
  5. Step 5: Solve for x
    x = 197,908,448.72/16,148.38
  6. Step 6: Final answer
    x = 12,255.62

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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.