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Finding the Fourth Proportional to 16,400.70, 22,632.96 and 8,948.70

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Solution

The fourth proportional to 16,400.70, 22,632.96 and 8,948.70 is: 12,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.70 : 22,632.96 = 8,948.70 : x
  2. Step 2: Convert to fraction form
    16,400.70/22,632.96 = 8,948.70/x
  3. Step 3: Cross multiply
    16,400.70x = 22,632.96 × 8,948.70
  4. Step 4: Simplify right side
    16,400.70x = 202,535,569.15
  5. Step 5: Solve for x
    x = 202,535,569.15/16,400.70
  6. Step 6: Final answer
    x = 12,349.20

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1.5x scale

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.