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Finding the Fourth Proportional to 22,537.60, 33,799.20 and 9,386.80

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Solution

The fourth proportional to 22,537.60, 33,799.20 and 9,386.80 is: 14,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.60 : 33,799.20 = 9,386.80 : x
  2. Step 2: Convert to fraction form
    22,537.60/33,799.20 = 9,386.80/x
  3. Step 3: Cross multiply
    22,537.60x = 33,799.20 × 9,386.80
  4. Step 4: Simplify right side
    22,537.60x = 317,266,330.56
  5. Step 5: Solve for x
    x = 317,266,330.56/22,537.60
  6. Step 6: Final answer
    x = 14,077.20

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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.