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Finding the Fourth Proportional to 15,877.20, 23,815.80 and 15,646.80

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Solution

The fourth proportional to 15,877.20, 23,815.80 and 15,646.80 is: 23,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.20 : 23,815.80 = 15,646.80 : x
  2. Step 2: Convert to fraction form
    15,877.20/23,815.80 = 15,646.80/x
  3. Step 3: Cross multiply
    15,877.20x = 23,815.80 × 15,646.80
  4. Step 4: Simplify right side
    15,877.20x = 372,641,059.44
  5. Step 5: Solve for x
    x = 372,641,059.44/15,877.20
  6. Step 6: Final answer
    x = 23,470.20

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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.