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Finding the Fourth Proportional to 22,407.60, 30,950.20 and 16,429.80

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Solution

The fourth proportional to 22,407.60, 30,950.20 and 16,429.80 is: 22,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.60 : 30,950.20 = 16,429.80 : x
  2. Step 2: Convert to fraction form
    22,407.60/30,950.20 = 16,429.80/x
  3. Step 3: Cross multiply
    22,407.60x = 30,950.20 × 16,429.80
  4. Step 4: Simplify right side
    22,407.60x = 508,505,595.96
  5. Step 5: Solve for x
    x = 508,505,595.96/22,407.60
  6. Step 6: Final answer
    x = 22,693.44

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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.