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Finding the Fourth Proportional to 12,453.32, 17,184.42 and 6,864.28

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Solution

The fourth proportional to 12,453.32, 17,184.42 and 6,864.28 is: 9,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.32 : 17,184.42 = 6,864.28 : x
  2. Step 2: Convert to fraction form
    12,453.32/17,184.42 = 6,864.28/x
  3. Step 3: Cross multiply
    12,453.32x = 17,184.42 × 6,864.28
  4. Step 4: Simplify right side
    12,453.32x = 117,958,670.52
  5. Step 5: Solve for x
    x = 117,958,670.52/12,453.32
  6. Step 6: Final answer
    x = 9,472.07

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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.