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Finding the Fourth Proportional to 12,523.36, 17,281.04 and 7,486.58

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Solution

The fourth proportional to 12,523.36, 17,281.04 and 7,486.58 is: 10,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.36 : 17,281.04 = 7,486.58 : x
  2. Step 2: Convert to fraction form
    12,523.36/17,281.04 = 7,486.58/x
  3. Step 3: Cross multiply
    12,523.36x = 17,281.04 × 7,486.58
  4. Step 4: Simplify right side
    12,523.36x = 129,375,888.44
  5. Step 5: Solve for x
    x = 129,375,888.44/12,523.36
  6. Step 6: Final answer
    x = 10,330.76

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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.