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Finding the Fourth Proportional to 22,178.90, 33,278.74 and 9,697.32

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Solution

The fourth proportional to 22,178.90, 33,278.74 and 9,697.32 is: 14,550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178.90 : 33,278.74 = 9,697.32 : x
  2. Step 2: Convert to fraction form
    22,178.90/33,278.74 = 9,697.32/x
  3. Step 3: Cross multiply
    22,178.90x = 33,278.74 × 9,697.32
  4. Step 4: Simplify right side
    22,178.90x = 322,714,590.98
  5. Step 5: Solve for x
    x = 322,714,590.98/22,178.90
  6. Step 6: Final answer
    x = 14,550.52

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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.