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Finding the Fourth Proportional to 12,204.32, 16,842.24 and 6,899.45

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Solution

The fourth proportional to 12,204.32, 16,842.24 and 6,899.45 is: 9,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.32 : 16,842.24 = 6,899.45 : x
  2. Step 2: Convert to fraction form
    12,204.32/16,842.24 = 6,899.45/x
  3. Step 3: Cross multiply
    12,204.32x = 16,842.24 × 6,899.45
  4. Step 4: Simplify right side
    12,204.32x = 116,202,108.56
  5. Step 5: Solve for x
    x = 116,202,108.56/12,204.32
  6. Step 6: Final answer
    x = 9,521.40

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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.