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Finding the Fourth Proportional to 12,669, 17,482.24 and 7,003.18

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Solution

The fourth proportional to 12,669, 17,482.24 and 7,003.18 is: 9,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669 : 17,482.24 = 7,003.18 : x
  2. Step 2: Convert to fraction form
    12,669/17,482.24 = 7,003.18/x
  3. Step 3: Cross multiply
    12,669x = 17,482.24 × 7,003.18
  4. Step 4: Simplify right side
    12,669x = 122,431,273.52
  5. Step 5: Solve for x
    x = 122,431,273.52/12,669
  6. Step 6: Final answer
    x = 9,663.85

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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.