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Finding the Fourth Proportional to 15,825.92, 21,842.80 and 9,116

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Solution

The fourth proportional to 15,825.92, 21,842.80 and 9,116 is: 12,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.92 : 21,842.80 = 9,116 : x
  2. Step 2: Convert to fraction form
    15,825.92/21,842.80 = 9,116/x
  3. Step 3: Cross multiply
    15,825.92x = 21,842.80 × 9,116
  4. Step 4: Simplify right side
    15,825.92x = 199,118,964.80
  5. Step 5: Solve for x
    x = 199,118,964.80/15,825.92
  6. Step 6: Final answer
    x = 12,581.83

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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.