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Finding the Fourth Proportional to 23,807.30, 35,711.44 and 8,012.80

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Solution

The fourth proportional to 23,807.30, 35,711.44 and 8,012.80 is: 12,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.30 : 35,711.44 = 8,012.80 : x
  2. Step 2: Convert to fraction form
    23,807.30/35,711.44 = 8,012.80/x
  3. Step 3: Cross multiply
    23,807.30x = 35,711.44 × 8,012.80
  4. Step 4: Simplify right side
    23,807.30x = 286,148,626.43
  5. Step 5: Solve for x
    x = 286,148,626.43/23,807.30
  6. Step 6: Final answer
    x = 12,019.36

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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.