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Finding the Fourth Proportional to 23,555.90, 32,509.22 and 12,947.60

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Solution

The fourth proportional to 23,555.90, 32,509.22 and 12,947.60 is: 17,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,555.90 : 32,509.22 = 12,947.60 : x
  2. Step 2: Convert to fraction form
    23,555.90/32,509.22 = 12,947.60/x
  3. Step 3: Cross multiply
    23,555.90x = 32,509.22 × 12,947.60
  4. Step 4: Simplify right side
    23,555.90x = 420,916,393.41
  5. Step 5: Solve for x
    x = 420,916,393.41/23,555.90
  6. Step 6: Final answer
    x = 17,868.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.