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Finding the Fourth Proportional to 22,802.14, 34,206.64 and 8,008.46

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Solution

The fourth proportional to 22,802.14, 34,206.64 and 8,008.46 is: 12,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.14 : 34,206.64 = 8,008.46 : x
  2. Step 2: Convert to fraction form
    22,802.14/34,206.64 = 8,008.46/x
  3. Step 3: Cross multiply
    22,802.14x = 34,206.64 × 8,008.46
  4. Step 4: Simplify right side
    22,802.14x = 273,942,508.17
  5. Step 5: Solve for x
    x = 273,942,508.17/22,802.14
  6. Step 6: Final answer
    x = 12,013.89

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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.