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Finding the Fourth Proportional to 22,585.34, 33,877.70 and 7,002.96

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Solution

The fourth proportional to 22,585.34, 33,877.70 and 7,002.96 is: 10,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.34 : 33,877.70 = 7,002.96 : x
  2. Step 2: Convert to fraction form
    22,585.34/33,877.70 = 7,002.96/x
  3. Step 3: Cross multiply
    22,585.34x = 33,877.70 × 7,002.96
  4. Step 4: Simplify right side
    22,585.34x = 237,244,142.98
  5. Step 5: Solve for x
    x = 237,244,142.98/22,585.34
  6. Step 6: Final answer
    x = 10,504.34

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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.