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Finding the Fourth Proportional to 19,609.68, 29,390.40 and 9,065.42

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Solution

The fourth proportional to 19,609.68, 29,390.40 and 9,065.42 is: 13,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.68 : 29,390.40 = 9,065.42 : x
  2. Step 2: Convert to fraction form
    19,609.68/29,390.40 = 9,065.42/x
  3. Step 3: Cross multiply
    19,609.68x = 29,390.40 × 9,065.42
  4. Step 4: Simplify right side
    19,609.68x = 266,436,319.97
  5. Step 5: Solve for x
    x = 266,436,319.97/19,609.68
  6. Step 6: Final answer
    x = 13,586.98

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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.