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Finding the Fourth Proportional to 21,882.95, 32,826.14 and 10,783.59

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Solution

The fourth proportional to 21,882.95, 32,826.14 and 10,783.59 is: 16,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.95 : 32,826.14 = 10,783.59 : x
  2. Step 2: Convert to fraction form
    21,882.95/32,826.14 = 10,783.59/x
  3. Step 3: Cross multiply
    21,882.95x = 32,826.14 × 10,783.59
  4. Step 4: Simplify right side
    21,882.95x = 353,983,635.04
  5. Step 5: Solve for x
    x = 353,983,635.04/21,882.95
  6. Step 6: Final answer
    x = 16,176.23

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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.