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Finding the Fourth Proportional to 21,454.66, 32,165.52 and 8,127.46

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Solution

The fourth proportional to 21,454.66, 32,165.52 and 8,127.46 is: 12,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.66 : 32,165.52 = 8,127.46 : x
  2. Step 2: Convert to fraction form
    21,454.66/32,165.52 = 8,127.46/x
  3. Step 3: Cross multiply
    21,454.66x = 32,165.52 × 8,127.46
  4. Step 4: Simplify right side
    21,454.66x = 261,423,977.18
  5. Step 5: Solve for x
    x = 261,423,977.18/21,454.66
  6. Step 6: Final answer
    x = 12,184.95

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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.