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Finding the Fourth Proportional to 19,766.48, 29,659.46 and 9,237.23

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Solution

The fourth proportional to 19,766.48, 29,659.46 and 9,237.23 is: 13,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.48 : 29,659.46 = 9,237.23 : x
  2. Step 2: Convert to fraction form
    19,766.48/29,659.46 = 9,237.23/x
  3. Step 3: Cross multiply
    19,766.48x = 29,659.46 × 9,237.23
  4. Step 4: Simplify right side
    19,766.48x = 273,971,350.94
  5. Step 5: Solve for x
    x = 273,971,350.94/19,766.48
  6. Step 6: Final answer
    x = 13,860.40

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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.