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Finding the Fourth Proportional to 12,442.06, 17,170.24 and 6,853.06

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Solution

The fourth proportional to 12,442.06, 17,170.24 and 6,853.06 is: 9,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.06 : 17,170.24 = 6,853.06 : x
  2. Step 2: Convert to fraction form
    12,442.06/17,170.24 = 6,853.06/x
  3. Step 3: Cross multiply
    12,442.06x = 17,170.24 × 6,853.06
  4. Step 4: Simplify right side
    12,442.06x = 117,668,599.08
  5. Step 5: Solve for x
    x = 117,668,599.08/12,442.06
  6. Step 6: Final answer
    x = 9,457.33

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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.