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Finding the Fourth Proportional to 16,471.94, 24,712.55 and 6,618.14

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Solution

The fourth proportional to 16,471.94, 24,712.55 and 6,618.14 is: 9,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.94 : 24,712.55 = 6,618.14 : x
  2. Step 2: Convert to fraction form
    16,471.94/24,712.55 = 6,618.14/x
  3. Step 3: Cross multiply
    16,471.94x = 24,712.55 × 6,618.14
  4. Step 4: Simplify right side
    16,471.94x = 163,551,115.66
  5. Step 5: Solve for x
    x = 163,551,115.66/16,471.94
  6. Step 6: Final answer
    x = 9,929.07

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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.