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Finding the Fourth Proportional to 22,464.09, 33,702.62 and 6,884.01

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Solution

The fourth proportional to 22,464.09, 33,702.62 and 6,884.01 is: 10,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.09 : 33,702.62 = 6,884.01 : x
  2. Step 2: Convert to fraction form
    22,464.09/33,702.62 = 6,884.01/x
  3. Step 3: Cross multiply
    22,464.09x = 33,702.62 × 6,884.01
  4. Step 4: Simplify right side
    22,464.09x = 232,009,138.69
  5. Step 5: Solve for x
    x = 232,009,138.69/22,464.09
  6. Step 6: Final answer
    x = 10,328.00

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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.