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Finding the Fourth Proportional to 12,284.31, 16,952.35 and 6,695.31

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Solution

The fourth proportional to 12,284.31, 16,952.35 and 6,695.31 is: 9,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.31 : 16,952.35 = 6,695.31 : x
  2. Step 2: Convert to fraction form
    12,284.31/16,952.35 = 6,695.31/x
  3. Step 3: Cross multiply
    12,284.31x = 16,952.35 × 6,695.31
  4. Step 4: Simplify right side
    12,284.31x = 113,501,238.48
  5. Step 5: Solve for x
    x = 113,501,238.48/12,284.31
  6. Step 6: Final answer
    x = 9,239.53

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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.