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Finding the Fourth Proportional to 22,064.16, 33,096.32 and 5,424.32

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Solution

The fourth proportional to 22,064.16, 33,096.32 and 5,424.32 is: 8,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,064.16 : 33,096.32 = 5,424.32 : x
  2. Step 2: Convert to fraction form
    22,064.16/33,096.32 = 5,424.32/x
  3. Step 3: Cross multiply
    22,064.16x = 33,096.32 × 5,424.32
  4. Step 4: Simplify right side
    22,064.16x = 179,525,030.50
  5. Step 5: Solve for x
    x = 179,525,030.50/22,064.16
  6. Step 6: Final answer
    x = 8,136.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.