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Finding the Fourth Proportional to 22,264.50, 33,402.55 and 9,786.98

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Solution

The fourth proportional to 22,264.50, 33,402.55 and 9,786.98 is: 14,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.50 : 33,402.55 = 9,786.98 : x
  2. Step 2: Convert to fraction form
    22,264.50/33,402.55 = 9,786.98/x
  3. Step 3: Cross multiply
    22,264.50x = 33,402.55 × 9,786.98
  4. Step 4: Simplify right side
    22,264.50x = 326,910,005.83
  5. Step 5: Solve for x
    x = 326,910,005.83/22,264.50
  6. Step 6: Final answer
    x = 14,683.02

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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.