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Finding the Fourth Proportional to 22,975.60, 34,463.40 and 9,829.30

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Solution

The fourth proportional to 22,975.60, 34,463.40 and 9,829.30 is: 14,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.60 : 34,463.40 = 9,829.30 : x
  2. Step 2: Convert to fraction form
    22,975.60/34,463.40 = 9,829.30/x
  3. Step 3: Cross multiply
    22,975.60x = 34,463.40 × 9,829.30
  4. Step 4: Simplify right side
    22,975.60x = 338,751,097.62
  5. Step 5: Solve for x
    x = 338,751,097.62/22,975.60
  6. Step 6: Final answer
    x = 14,743.95

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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.