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Finding the Fourth Proportional to 21,686.49, 32,532.21 and 8,358.95

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Solution

The fourth proportional to 21,686.49, 32,532.21 and 8,358.95 is: 12,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.49 : 32,532.21 = 8,358.95 : x
  2. Step 2: Convert to fraction form
    21,686.49/32,532.21 = 8,358.95/x
  3. Step 3: Cross multiply
    21,686.49x = 32,532.21 × 8,358.95
  4. Step 4: Simplify right side
    21,686.49x = 271,935,198.11
  5. Step 5: Solve for x
    x = 271,935,198.11/21,686.49
  6. Step 6: Final answer
    x = 12,539.38

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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.