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Finding the Fourth Proportional to 12,773.62, 17,622.59 and 9,424.47

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Solution

The fourth proportional to 12,773.62, 17,622.59 and 9,424.47 is: 13,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.62 : 17,622.59 = 9,424.47 : x
  2. Step 2: Convert to fraction form
    12,773.62/17,622.59 = 9,424.47/x
  3. Step 3: Cross multiply
    12,773.62x = 17,622.59 × 9,424.47
  4. Step 4: Simplify right side
    12,773.62x = 166,083,570.78
  5. Step 5: Solve for x
    x = 166,083,570.78/12,773.62
  6. Step 6: Final answer
    x = 13,002.08

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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.