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Finding the Fourth Proportional to 25,871.82, 38,770.65 and 14,755.50

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Solution

The fourth proportional to 25,871.82, 38,770.65 and 14,755.50 is: 22,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.82 : 38,770.65 = 14,755.50 : x
  2. Step 2: Convert to fraction form
    25,871.82/38,770.65 = 14,755.50/x
  3. Step 3: Cross multiply
    25,871.82x = 38,770.65 × 14,755.50
  4. Step 4: Simplify right side
    25,871.82x = 572,080,326.08
  5. Step 5: Solve for x
    x = 572,080,326.08/25,871.82
  6. Step 6: Final answer
    x = 22,112.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.