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Finding the Fourth Proportional to 16,215.32, 22,376.97 and 9,144.02

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Solution

The fourth proportional to 16,215.32, 22,376.97 and 9,144.02 is: 12,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.32 : 22,376.97 = 9,144.02 : x
  2. Step 2: Convert to fraction form
    16,215.32/22,376.97 = 9,144.02/x
  3. Step 3: Cross multiply
    16,215.32x = 22,376.97 × 9,144.02
  4. Step 4: Simplify right side
    16,215.32x = 204,615,461.22
  5. Step 5: Solve for x
    x = 204,615,461.22/16,215.32
  6. Step 6: Final answer
    x = 12,618.65

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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.