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Finding the Fourth Proportional to 22,078.56, 33,113.76 and 6,492.24

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Solution

The fourth proportional to 22,078.56, 33,113.76 and 6,492.24 is: 9,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.56 : 33,113.76 = 6,492.24 : x
  2. Step 2: Convert to fraction form
    22,078.56/33,113.76 = 6,492.24/x
  3. Step 3: Cross multiply
    22,078.56x = 33,113.76 × 6,492.24
  4. Step 4: Simplify right side
    22,078.56x = 214,982,477.22
  5. Step 5: Solve for x
    x = 214,982,477.22/22,078.56
  6. Step 6: Final answer
    x = 9,737.16

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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.