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Finding the Fourth Proportional to 23,527.96, 35,282.56 and 10,371

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Solution

The fourth proportional to 23,527.96, 35,282.56 and 10,371 is: 15,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.96 : 35,282.56 = 10,371 : x
  2. Step 2: Convert to fraction form
    23,527.96/35,282.56 = 10,371/x
  3. Step 3: Cross multiply
    23,527.96x = 35,282.56 × 10,371
  4. Step 4: Simplify right side
    23,527.96x = 365,915,429.76
  5. Step 5: Solve for x
    x = 365,915,429.76/23,527.96
  6. Step 6: Final answer
    x = 15,552.37

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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.