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Finding the Fourth Proportional to 12,523.92, 17,266.64 and 10,774.32

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Solution

The fourth proportional to 12,523.92, 17,266.64 and 10,774.32 is: 14,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.92 : 17,266.64 = 10,774.32 : x
  2. Step 2: Convert to fraction form
    12,523.92/17,266.64 = 10,774.32/x
  3. Step 3: Cross multiply
    12,523.92x = 17,266.64 × 10,774.32
  4. Step 4: Simplify right side
    12,523.92x = 186,036,304.68
  5. Step 5: Solve for x
    x = 186,036,304.68/12,523.92
  6. Step 6: Final answer
    x = 14,854.48

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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.