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Finding the Fourth Proportional to 22,678.11, 34,006.37 and 7,885.08

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Solution

The fourth proportional to 22,678.11, 34,006.37 and 7,885.08 is: 11,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.11 : 34,006.37 = 7,885.08 : x
  2. Step 2: Convert to fraction form
    22,678.11/34,006.37 = 7,885.08/x
  3. Step 3: Cross multiply
    22,678.11x = 34,006.37 × 7,885.08
  4. Step 4: Simplify right side
    22,678.11x = 268,142,908.53
  5. Step 5: Solve for x
    x = 268,142,908.53/22,678.11
  6. Step 6: Final answer
    x = 11,823.86

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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.