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Finding the Fourth Proportional to 23,847, 32,909.45 and 13,237.08

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Solution

The fourth proportional to 23,847, 32,909.45 and 13,237.08 is: 18,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847 : 32,909.45 = 13,237.08 : x
  2. Step 2: Convert to fraction form
    23,847/32,909.45 = 13,237.08/x
  3. Step 3: Cross multiply
    23,847x = 32,909.45 × 13,237.08
  4. Step 4: Simplify right side
    23,847x = 435,625,022.41
  5. Step 5: Solve for x
    x = 435,625,022.41/23,847
  6. Step 6: Final answer
    x = 18,267.50

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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.