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Finding the Fourth Proportional to 21,380.95, 32,071.43 and 11,524.87

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Solution

The fourth proportional to 21,380.95, 32,071.43 and 11,524.87 is: 17,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.95 : 32,071.43 = 11,524.87 : x
  2. Step 2: Convert to fraction form
    21,380.95/32,071.43 = 11,524.87/x
  3. Step 3: Cross multiply
    21,380.95x = 32,071.43 × 11,524.87
  4. Step 4: Simplify right side
    21,380.95x = 369,619,061.46
  5. Step 5: Solve for x
    x = 369,619,061.46/21,380.95
  6. Step 6: Final answer
    x = 17,287.31

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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.