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Finding the Fourth Proportional to 22,800.30, 34,204.23 and 8,005.38

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Solution

The fourth proportional to 22,800.30, 34,204.23 and 8,005.38 is: 12,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800.30 : 34,204.23 = 8,005.38 : x
  2. Step 2: Convert to fraction form
    22,800.30/34,204.23 = 8,005.38/x
  3. Step 3: Cross multiply
    22,800.30x = 34,204.23 × 8,005.38
  4. Step 4: Simplify right side
    22,800.30x = 273,817,858.76
  5. Step 5: Solve for x
    x = 273,817,858.76/22,800.30
  6. Step 6: Final answer
    x = 12,009.40

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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.