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Finding the Fourth Proportional to 16,570.65, 22,867.32 and 9,856.13

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Solution

The fourth proportional to 16,570.65, 22,867.32 and 9,856.13 is: 13,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.65 : 22,867.32 = 9,856.13 : x
  2. Step 2: Convert to fraction form
    16,570.65/22,867.32 = 9,856.13/x
  3. Step 3: Cross multiply
    16,570.65x = 22,867.32 × 9,856.13
  4. Step 4: Simplify right side
    16,570.65x = 225,383,229.39
  5. Step 5: Solve for x
    x = 225,383,229.39/16,570.65
  6. Step 6: Final answer
    x = 13,601.35

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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.