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Finding the Fourth Proportional to 20,457.80, 30,686.70 and 16,569.80

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Solution

The fourth proportional to 20,457.80, 30,686.70 and 16,569.80 is: 24,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.80 : 30,686.70 = 16,569.80 : x
  2. Step 2: Convert to fraction form
    20,457.80/30,686.70 = 16,569.80/x
  3. Step 3: Cross multiply
    20,457.80x = 30,686.70 × 16,569.80
  4. Step 4: Simplify right side
    20,457.80x = 508,472,481.66
  5. Step 5: Solve for x
    x = 508,472,481.66/20,457.80
  6. Step 6: Final answer
    x = 24,854.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.