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Finding the Fourth Proportional to 22,964.40, 34,461.18 and 9,827.82

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Solution

The fourth proportional to 22,964.40, 34,461.18 and 9,827.82 is: 14,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.40 : 34,461.18 = 9,827.82 : x
  2. Step 2: Convert to fraction form
    22,964.40/34,461.18 = 9,827.82/x
  3. Step 3: Cross multiply
    22,964.40x = 34,461.18 × 9,827.82
  4. Step 4: Simplify right side
    22,964.40x = 338,678,274.03
  5. Step 5: Solve for x
    x = 338,678,274.03/22,964.40
  6. Step 6: Final answer
    x = 14,747.97

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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.