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Finding the Fourth Proportional to 22,397.14, 33,602.73 and 9,255.70

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Solution

The fourth proportional to 22,397.14, 33,602.73 and 9,255.70 is: 13,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,397.14 : 33,602.73 = 9,255.70 : x
  2. Step 2: Convert to fraction form
    22,397.14/33,602.73 = 9,255.70/x
  3. Step 3: Cross multiply
    22,397.14x = 33,602.73 × 9,255.70
  4. Step 4: Simplify right side
    22,397.14x = 311,016,788.06
  5. Step 5: Solve for x
    x = 311,016,788.06/22,397.14
  6. Step 6: Final answer
    x = 13,886.45

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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.