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Finding the Fourth Proportional to 12,193.32, 16,840.62 and 8,207.52

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Solution

The fourth proportional to 12,193.32, 16,840.62 and 8,207.52 is: 11,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.32 : 16,840.62 = 8,207.52 : x
  2. Step 2: Convert to fraction form
    12,193.32/16,840.62 = 8,207.52/x
  3. Step 3: Cross multiply
    12,193.32x = 16,840.62 × 8,207.52
  4. Step 4: Simplify right side
    12,193.32x = 138,219,725.46
  5. Step 5: Solve for x
    x = 138,219,725.46/12,193.32
  6. Step 6: Final answer
    x = 11,335.69

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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.