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Finding the Fourth Proportional to 16,574.31, 24,862.83 and 7,214.64

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Solution

The fourth proportional to 16,574.31, 24,862.83 and 7,214.64 is: 10,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.31 : 24,862.83 = 7,214.64 : x
  2. Step 2: Convert to fraction form
    16,574.31/24,862.83 = 7,214.64/x
  3. Step 3: Cross multiply
    16,574.31x = 24,862.83 × 7,214.64
  4. Step 4: Simplify right side
    16,574.31x = 179,376,367.83
  5. Step 5: Solve for x
    x = 179,376,367.83/16,574.31
  6. Step 6: Final answer
    x = 10,822.55

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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.