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Finding the Fourth Proportional to 19,492.28, 29,238.68 and 6,344.72

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Solution

The fourth proportional to 19,492.28, 29,238.68 and 6,344.72 is: 9,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,492.28 : 29,238.68 = 6,344.72 : x
  2. Step 2: Convert to fraction form
    19,492.28/29,238.68 = 6,344.72/x
  3. Step 3: Cross multiply
    19,492.28x = 29,238.68 × 6,344.72
  4. Step 4: Simplify right side
    19,492.28x = 185,511,237.77
  5. Step 5: Solve for x
    x = 185,511,237.77/19,492.28
  6. Step 6: Final answer
    x = 9,517.16

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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.