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Finding the Fourth Proportional to 22,358.34, 33,537.84 and 5,718

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Solution

The fourth proportional to 22,358.34, 33,537.84 and 5,718 is: 8,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.34 : 33,537.84 = 5,718 : x
  2. Step 2: Convert to fraction form
    22,358.34/33,537.84 = 5,718/x
  3. Step 3: Cross multiply
    22,358.34x = 33,537.84 × 5,718
  4. Step 4: Simplify right side
    22,358.34x = 191,769,369.12
  5. Step 5: Solve for x
    x = 191,769,369.12/22,358.34
  6. Step 6: Final answer
    x = 8,577.08

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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.