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Finding the Fourth Proportional to 12,368.32, 18,557.22 and 7,441.44

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Solution

The fourth proportional to 12,368.32, 18,557.22 and 7,441.44 is: 11,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.32 : 18,557.22 = 7,441.44 : x
  2. Step 2: Convert to fraction form
    12,368.32/18,557.22 = 7,441.44/x
  3. Step 3: Cross multiply
    12,368.32x = 18,557.22 × 7,441.44
  4. Step 4: Simplify right side
    12,368.32x = 138,092,439.20
  5. Step 5: Solve for x
    x = 138,092,439.20/12,368.32
  6. Step 6: Final answer
    x = 11,165.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.