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Finding the Fourth Proportional to 22,527.48, 33,793.38 and 10,047

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Solution

The fourth proportional to 22,527.48, 33,793.38 and 10,047 is: 15,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.48 : 33,793.38 = 10,047 : x
  2. Step 2: Convert to fraction form
    22,527.48/33,793.38 = 10,047/x
  3. Step 3: Cross multiply
    22,527.48x = 33,793.38 × 10,047
  4. Step 4: Simplify right side
    22,527.48x = 339,522,088.86
  5. Step 5: Solve for x
    x = 339,522,088.86/22,527.48
  6. Step 6: Final answer
    x = 15,071.46

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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.