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Finding the Fourth Proportional to 16,856.56, 25,277.01 and 9,838.59

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Solution

The fourth proportional to 16,856.56, 25,277.01 and 9,838.59 is: 14,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.56 : 25,277.01 = 9,838.59 : x
  2. Step 2: Convert to fraction form
    16,856.56/25,277.01 = 9,838.59/x
  3. Step 3: Cross multiply
    16,856.56x = 25,277.01 × 9,838.59
  4. Step 4: Simplify right side
    16,856.56x = 248,690,132.57
  5. Step 5: Solve for x
    x = 248,690,132.57/16,856.56
  6. Step 6: Final answer
    x = 14,753.32

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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.