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Finding the Fourth Proportional to 22,308.64, 33,462 and 5,669.36

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Solution

The fourth proportional to 22,308.64, 33,462 and 5,669.36 is: 8,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.64 : 33,462 = 5,669.36 : x
  2. Step 2: Convert to fraction form
    22,308.64/33,462 = 5,669.36/x
  3. Step 3: Cross multiply
    22,308.64x = 33,462 × 5,669.36
  4. Step 4: Simplify right side
    22,308.64x = 189,708,124.32
  5. Step 5: Solve for x
    x = 189,708,124.32/22,308.64
  6. Step 6: Final answer
    x = 8,503.80

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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.