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Finding the Fourth Proportional to 21,712.54, 32,567.58 and 8,382.95

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Solution

The fourth proportional to 21,712.54, 32,567.58 and 8,382.95 is: 12,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712.54 : 32,567.58 = 8,382.95 : x
  2. Step 2: Convert to fraction form
    21,712.54/32,567.58 = 8,382.95/x
  3. Step 3: Cross multiply
    21,712.54x = 32,567.58 × 8,382.95
  4. Step 4: Simplify right side
    21,712.54x = 273,012,394.76
  5. Step 5: Solve for x
    x = 273,012,394.76/21,712.54
  6. Step 6: Final answer
    x = 12,573.95

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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.