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Finding the Fourth Proportional to 22,178.64, 33,237.44 and 9,709.10

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Solution

The fourth proportional to 22,178.64, 33,237.44 and 9,709.10 is: 14,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178.64 : 33,237.44 = 9,709.10 : x
  2. Step 2: Convert to fraction form
    22,178.64/33,237.44 = 9,709.10/x
  3. Step 3: Cross multiply
    22,178.64x = 33,237.44 × 9,709.10
  4. Step 4: Simplify right side
    22,178.64x = 322,705,575.02
  5. Step 5: Solve for x
    x = 322,705,575.02/22,178.64
  6. Step 6: Final answer
    x = 14,550.28

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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.