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Finding the Fourth Proportional to 19,723.20, 29,584.80 and 15,316.80

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Solution

The fourth proportional to 19,723.20, 29,584.80 and 15,316.80 is: 22,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,723.20 : 29,584.80 = 15,316.80 : x
  2. Step 2: Convert to fraction form
    19,723.20/29,584.80 = 15,316.80/x
  3. Step 3: Cross multiply
    19,723.20x = 29,584.80 × 15,316.80
  4. Step 4: Simplify right side
    19,723.20x = 453,144,464.64
  5. Step 5: Solve for x
    x = 453,144,464.64/19,723.20
  6. Step 6: Final answer
    x = 22,975.20

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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.