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Finding the Fourth Proportional to 22,417.98, 33,627 and 5,778.06

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Solution

The fourth proportional to 22,417.98, 33,627 and 5,778.06 is: 8,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,417.98 : 33,627 = 5,778.06 : x
  2. Step 2: Convert to fraction form
    22,417.98/33,627 = 5,778.06/x
  3. Step 3: Cross multiply
    22,417.98x = 33,627 × 5,778.06
  4. Step 4: Simplify right side
    22,417.98x = 194,298,823.62
  5. Step 5: Solve for x
    x = 194,298,823.62/22,417.98
  6. Step 6: Final answer
    x = 8,667.10

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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.