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Finding the Fourth Proportional to 12,314.56, 18,538.38 and 11,243.20

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Solution

The fourth proportional to 12,314.56, 18,538.38 and 11,243.20 is: 16,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.56 : 18,538.38 = 11,243.20 : x
  2. Step 2: Convert to fraction form
    12,314.56/18,538.38 = 11,243.20/x
  3. Step 3: Cross multiply
    12,314.56x = 18,538.38 × 11,243.20
  4. Step 4: Simplify right side
    12,314.56x = 208,430,714.02
  5. Step 5: Solve for x
    x = 208,430,714.02/12,314.56
  6. Step 6: Final answer
    x = 16,925.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.