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Finding the Fourth Proportional to 23,847.61, 32,909.70 and 13,237.24

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Solution

The fourth proportional to 23,847.61, 32,909.70 and 13,237.24 is: 18,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.61 : 32,909.70 = 13,237.24 : x
  2. Step 2: Convert to fraction form
    23,847.61/32,909.70 = 13,237.24/x
  3. Step 3: Cross multiply
    23,847.61x = 32,909.70 × 13,237.24
  4. Step 4: Simplify right side
    23,847.61x = 435,633,597.23
  5. Step 5: Solve for x
    x = 435,633,597.23/23,847.61
  6. Step 6: Final answer
    x = 18,267.39

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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.