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Finding the Fourth Proportional to 22,585.09, 33,877.32 and 7,002.71

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Solution

The fourth proportional to 22,585.09, 33,877.32 and 7,002.71 is: 10,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.09 : 33,877.32 = 7,002.71 : x
  2. Step 2: Convert to fraction form
    22,585.09/33,877.32 = 7,002.71/x
  3. Step 3: Cross multiply
    22,585.09x = 33,877.32 × 7,002.71
  4. Step 4: Simplify right side
    22,585.09x = 237,233,047.54
  5. Step 5: Solve for x
    x = 237,233,047.54/22,585.09
  6. Step 6: Final answer
    x = 10,503.97

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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.