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Finding the Fourth Proportional to 22,025.26, 33,038.16 and 6,443.20

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Solution

The fourth proportional to 22,025.26, 33,038.16 and 6,443.20 is: 9,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,025.26 : 33,038.16 = 6,443.20 : x
  2. Step 2: Convert to fraction form
    22,025.26/33,038.16 = 6,443.20/x
  3. Step 3: Cross multiply
    22,025.26x = 33,038.16 × 6,443.20
  4. Step 4: Simplify right side
    22,025.26x = 212,871,472.51
  5. Step 5: Solve for x
    x = 212,871,472.51/22,025.26
  6. Step 6: Final answer
    x = 9,664.88

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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.