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Finding the Fourth Proportional to 12,668.32, 17,481.30 and 7,003

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Solution

The fourth proportional to 12,668.32, 17,481.30 and 7,003 is: 9,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668.32 : 17,481.30 = 7,003 : x
  2. Step 2: Convert to fraction form
    12,668.32/17,481.30 = 7,003/x
  3. Step 3: Cross multiply
    12,668.32x = 17,481.30 × 7,003
  4. Step 4: Simplify right side
    12,668.32x = 122,421,543.90
  5. Step 5: Solve for x
    x = 122,421,543.90/12,668.32
  6. Step 6: Final answer
    x = 9,663.60

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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.