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Finding the Fourth Proportional to 19,723.26, 29,589.60 and 6,575.76

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Solution

The fourth proportional to 19,723.26, 29,589.60 and 6,575.76 is: 9,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,723.26 : 29,589.60 = 6,575.76 : x
  2. Step 2: Convert to fraction form
    19,723.26/29,589.60 = 6,575.76/x
  3. Step 3: Cross multiply
    19,723.26x = 29,589.60 × 6,575.76
  4. Step 4: Simplify right side
    19,723.26x = 194,574,108.10
  5. Step 5: Solve for x
    x = 194,574,108.10/19,723.26
  6. Step 6: Final answer
    x = 9,865.21

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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.