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Finding the Fourth Proportional to 22,298.72, 33,461.10 and 8,448.80

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Solution

The fourth proportional to 22,298.72, 33,461.10 and 8,448.80 is: 12,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.72 : 33,461.10 = 8,448.80 : x
  2. Step 2: Convert to fraction form
    22,298.72/33,461.10 = 8,448.80/x
  3. Step 3: Cross multiply
    22,298.72x = 33,461.10 × 8,448.80
  4. Step 4: Simplify right side
    22,298.72x = 282,706,141.68
  5. Step 5: Solve for x
    x = 282,706,141.68/22,298.72
  6. Step 6: Final answer
    x = 12,678.13

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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.