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Finding the Fourth Proportional to 21,422.95, 32,146.58 and 8,276.25

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Solution

The fourth proportional to 21,422.95, 32,146.58 and 8,276.25 is: 12,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.95 : 32,146.58 = 8,276.25 : x
  2. Step 2: Convert to fraction form
    21,422.95/32,146.58 = 8,276.25/x
  3. Step 3: Cross multiply
    21,422.95x = 32,146.58 × 8,276.25
  4. Step 4: Simplify right side
    21,422.95x = 266,053,132.73
  5. Step 5: Solve for x
    x = 266,053,132.73/21,422.95
  6. Step 6: Final answer
    x = 12,419.07

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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.