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Finding the Fourth Proportional to 12,774.12, 17,623.28 and 9,424.98

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Solution

The fourth proportional to 12,774.12, 17,623.28 and 9,424.98 is: 13,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.12 : 17,623.28 = 9,424.98 : x
  2. Step 2: Convert to fraction form
    12,774.12/17,623.28 = 9,424.98/x
  3. Step 3: Cross multiply
    12,774.12x = 17,623.28 × 9,424.98
  4. Step 4: Simplify right side
    12,774.12x = 166,099,061.53
  5. Step 5: Solve for x
    x = 166,099,061.53/12,774.12
  6. Step 6: Final answer
    x = 13,002.78

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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.