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Finding the Fourth Proportional to 21,934.62, 32,872.77 and 12,577.50

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Solution

The fourth proportional to 21,934.62, 32,872.77 and 12,577.50 is: 18,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.62 : 32,872.77 = 12,577.50 : x
  2. Step 2: Convert to fraction form
    21,934.62/32,872.77 = 12,577.50/x
  3. Step 3: Cross multiply
    21,934.62x = 32,872.77 × 12,577.50
  4. Step 4: Simplify right side
    21,934.62x = 413,457,264.68
  5. Step 5: Solve for x
    x = 413,457,264.68/21,934.62
  6. Step 6: Final answer
    x = 18,849.53

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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.