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Finding the Fourth Proportional to 20,005.20, 30,007.80 and 12,585.60

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Solution

The fourth proportional to 20,005.20, 30,007.80 and 12,585.60 is: 18,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.20 : 30,007.80 = 12,585.60 : x
  2. Step 2: Convert to fraction form
    20,005.20/30,007.80 = 12,585.60/x
  3. Step 3: Cross multiply
    20,005.20x = 30,007.80 × 12,585.60
  4. Step 4: Simplify right side
    20,005.20x = 377,666,167.68
  5. Step 5: Solve for x
    x = 377,666,167.68/20,005.20
  6. Step 6: Final answer
    x = 18,878.40

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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.