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Finding the Fourth Proportional to 22,443.78, 33,666.53 and 8,402.34

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Solution

The fourth proportional to 22,443.78, 33,666.53 and 8,402.34 is: 12,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,443.78 : 33,666.53 = 8,402.34 : x
  2. Step 2: Convert to fraction form
    22,443.78/33,666.53 = 8,402.34/x
  3. Step 3: Cross multiply
    22,443.78x = 33,666.53 × 8,402.34
  4. Step 4: Simplify right side
    22,443.78x = 282,877,631.68
  5. Step 5: Solve for x
    x = 282,877,631.68/22,443.78
  6. Step 6: Final answer
    x = 12,603.83

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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.