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Finding the Fourth Proportional to 23,891.60, 32,971.58 and 13,281

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Solution

The fourth proportional to 23,891.60, 32,971.58 and 13,281 is: 18,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.60 : 32,971.58 = 13,281 : x
  2. Step 2: Convert to fraction form
    23,891.60/32,971.58 = 13,281/x
  3. Step 3: Cross multiply
    23,891.60x = 32,971.58 × 13,281
  4. Step 4: Simplify right side
    23,891.60x = 437,895,487.58
  5. Step 5: Solve for x
    x = 437,895,487.58/23,891.60
  6. Step 6: Final answer
    x = 18,328.43

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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.