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Finding the Fourth Proportional to 16,829.80, 23,225.10 and 9,377.80

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Solution

The fourth proportional to 16,829.80, 23,225.10 and 9,377.80 is: 12,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.80 : 23,225.10 = 9,377.80 : x
  2. Step 2: Convert to fraction form
    16,829.80/23,225.10 = 9,377.80/x
  3. Step 3: Cross multiply
    16,829.80x = 23,225.10 × 9,377.80
  4. Step 4: Simplify right side
    16,829.80x = 217,800,342.78
  5. Step 5: Solve for x
    x = 217,800,342.78/16,829.80
  6. Step 6: Final answer
    x = 12,941.35

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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.