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Finding the Fourth Proportional to 16,830.32, 23,231.10 and 10,862

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Solution

The fourth proportional to 16,830.32, 23,231.10 and 10,862 is: 14,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.32 : 23,231.10 = 10,862 : x
  2. Step 2: Convert to fraction form
    16,830.32/23,231.10 = 10,862/x
  3. Step 3: Cross multiply
    16,830.32x = 23,231.10 × 10,862
  4. Step 4: Simplify right side
    16,830.32x = 252,336,208.20
  5. Step 5: Solve for x
    x = 252,336,208.20/16,830.32
  6. Step 6: Final answer
    x = 14,992.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.