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Finding the Fourth Proportional to 22,396.32, 33,592.86 and 6,813

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Solution

The fourth proportional to 22,396.32, 33,592.86 and 6,813 is: 10,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396.32 : 33,592.86 = 6,813 : x
  2. Step 2: Convert to fraction form
    22,396.32/33,592.86 = 6,813/x
  3. Step 3: Cross multiply
    22,396.32x = 33,592.86 × 6,813
  4. Step 4: Simplify right side
    22,396.32x = 228,868,155.18
  5. Step 5: Solve for x
    x = 228,868,155.18/22,396.32
  6. Step 6: Final answer
    x = 10,219.01

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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.