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Finding the Fourth Proportional to 22,077.54, 33,097.59 and 9,588.15

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Solution

The fourth proportional to 22,077.54, 33,097.59 and 9,588.15 is: 14,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077.54 : 33,097.59 = 9,588.15 : x
  2. Step 2: Convert to fraction form
    22,077.54/33,097.59 = 9,588.15/x
  3. Step 3: Cross multiply
    22,077.54x = 33,097.59 × 9,588.15
  4. Step 4: Simplify right side
    22,077.54x = 317,344,657.56
  5. Step 5: Solve for x
    x = 317,344,657.56/22,077.54
  6. Step 6: Final answer
    x = 14,374.10

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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.