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Finding the Fourth Proportional to 12,454.34, 17,186.38 and 6,789.08

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Solution

The fourth proportional to 12,454.34, 17,186.38 and 6,789.08 is: 9,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.34 : 17,186.38 = 6,789.08 : x
  2. Step 2: Convert to fraction form
    12,454.34/17,186.38 = 6,789.08/x
  3. Step 3: Cross multiply
    12,454.34x = 17,186.38 × 6,789.08
  4. Step 4: Simplify right side
    12,454.34x = 116,679,734.72
  5. Step 5: Solve for x
    x = 116,679,734.72/12,454.34
  6. Step 6: Final answer
    x = 9,368.60

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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.