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Finding the Fourth Proportional to 19,739.88, 29,609.82 and 9,869.22

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Solution

The fourth proportional to 19,739.88, 29,609.82 and 9,869.22 is: 14,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739.88 : 29,609.82 = 9,869.22 : x
  2. Step 2: Convert to fraction form
    19,739.88/29,609.82 = 9,869.22/x
  3. Step 3: Cross multiply
    19,739.88x = 29,609.82 × 9,869.22
  4. Step 4: Simplify right side
    19,739.88x = 292,225,827.74
  5. Step 5: Solve for x
    x = 292,225,827.74/19,739.88
  6. Step 6: Final answer
    x = 14,803.83

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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.