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Finding the Fourth Proportional to 22,077.58, 33,097.74 and 9,588.16

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Solution

The fourth proportional to 22,077.58, 33,097.74 and 9,588.16 is: 14,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077.58 : 33,097.74 = 9,588.16 : x
  2. Step 2: Convert to fraction form
    22,077.58/33,097.74 = 9,588.16/x
  3. Step 3: Cross multiply
    22,077.58x = 33,097.74 × 9,588.16
  4. Step 4: Simplify right side
    22,077.58x = 317,346,426.76
  5. Step 5: Solve for x
    x = 317,346,426.76/22,077.58
  6. Step 6: Final answer
    x = 14,374.15

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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.