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Finding the Fourth Proportional to 22,364.98, 33,534.51 and 9,202.48

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Solution

The fourth proportional to 22,364.98, 33,534.51 and 9,202.48 is: 13,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.98 : 33,534.51 = 9,202.48 : x
  2. Step 2: Convert to fraction form
    22,364.98/33,534.51 = 9,202.48/x
  3. Step 3: Cross multiply
    22,364.98x = 33,534.51 × 9,202.48
  4. Step 4: Simplify right side
    22,364.98x = 308,600,657.58
  5. Step 5: Solve for x
    x = 308,600,657.58/22,364.98
  6. Step 6: Final answer
    x = 13,798.39

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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.