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Finding the Fourth Proportional to 22,864.43, 34,302.82 and 9,533.01

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Solution

The fourth proportional to 22,864.43, 34,302.82 and 9,533.01 is: 14,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.43 : 34,302.82 = 9,533.01 : x
  2. Step 2: Convert to fraction form
    22,864.43/34,302.82 = 9,533.01/x
  3. Step 3: Cross multiply
    22,864.43x = 34,302.82 × 9,533.01
  4. Step 4: Simplify right side
    22,864.43x = 327,009,266.64
  5. Step 5: Solve for x
    x = 327,009,266.64/22,864.43
  6. Step 6: Final answer
    x = 14,302.09

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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.