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Finding the Fourth Proportional to 22,298.64, 33,442.56 and 6,499.40

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Solution

The fourth proportional to 22,298.64, 33,442.56 and 6,499.40 is: 9,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.64 : 33,442.56 = 6,499.40 : x
  2. Step 2: Convert to fraction form
    22,298.64/33,442.56 = 6,499.40/x
  3. Step 3: Cross multiply
    22,298.64x = 33,442.56 × 6,499.40
  4. Step 4: Simplify right side
    22,298.64x = 217,356,407.25
  5. Step 5: Solve for x
    x = 217,356,407.25/22,298.64
  6. Step 6: Final answer
    x = 9,747.52

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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.