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Finding the Fourth Proportional to 19,304.69, 28,975.75 and 9,316.46

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Solution

The fourth proportional to 19,304.69, 28,975.75 and 9,316.46 is: 13,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,304.69 : 28,975.75 = 9,316.46 : x
  2. Step 2: Convert to fraction form
    19,304.69/28,975.75 = 9,316.46/x
  3. Step 3: Cross multiply
    19,304.69x = 28,975.75 × 9,316.46
  4. Step 4: Simplify right side
    19,304.69x = 269,951,451.42
  5. Step 5: Solve for x
    x = 269,951,451.42/19,304.69
  6. Step 6: Final answer
    x = 13,983.73

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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.