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Finding the Fourth Proportional to 19,774.12, 29,672.22 and 10,539.88

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Solution

The fourth proportional to 19,774.12, 29,672.22 and 10,539.88 is: 15,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.12 : 29,672.22 = 10,539.88 : x
  2. Step 2: Convert to fraction form
    19,774.12/29,672.22 = 10,539.88/x
  3. Step 3: Cross multiply
    19,774.12x = 29,672.22 × 10,539.88
  4. Step 4: Simplify right side
    19,774.12x = 312,741,638.13
  5. Step 5: Solve for x
    x = 312,741,638.13/19,774.12
  6. Step 6: Final answer
    x = 15,815.70

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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.