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Finding the Fourth Proportional to 20,185.60, 30,278.40 and 10,854.40

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Solution

The fourth proportional to 20,185.60, 30,278.40 and 10,854.40 is: 16,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.60 : 30,278.40 = 10,854.40 : x
  2. Step 2: Convert to fraction form
    20,185.60/30,278.40 = 10,854.40/x
  3. Step 3: Cross multiply
    20,185.60x = 30,278.40 × 10,854.40
  4. Step 4: Simplify right side
    20,185.60x = 328,653,864.96
  5. Step 5: Solve for x
    x = 328,653,864.96/20,185.60
  6. Step 6: Final answer
    x = 16,281.60

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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.