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Finding the Fourth Proportional to 22,962.18, 34,443.24 and 6,322.32

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Solution

The fourth proportional to 22,962.18, 34,443.24 and 6,322.32 is: 9,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,962.18 : 34,443.24 = 6,322.32 : x
  2. Step 2: Convert to fraction form
    22,962.18/34,443.24 = 6,322.32/x
  3. Step 3: Cross multiply
    22,962.18x = 34,443.24 × 6,322.32
  4. Step 4: Simplify right side
    22,962.18x = 217,761,185.12
  5. Step 5: Solve for x
    x = 217,761,185.12/22,962.18
  6. Step 6: Final answer
    x = 9,483.47

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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.