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Finding the Fourth Proportional to 16,856.12, 25,282.16 and 5,762.58

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Solution

The fourth proportional to 16,856.12, 25,282.16 and 5,762.58 is: 8,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.12 : 25,282.16 = 5,762.58 : x
  2. Step 2: Convert to fraction form
    16,856.12/25,282.16 = 5,762.58/x
  3. Step 3: Cross multiply
    16,856.12x = 25,282.16 × 5,762.58
  4. Step 4: Simplify right side
    16,856.12x = 145,690,469.57
  5. Step 5: Solve for x
    x = 145,690,469.57/16,856.12
  6. Step 6: Final answer
    x = 8,643.18

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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.