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Finding the Fourth Proportional to 24,801.39, 37,202.09 and 9,219.02

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Solution

The fourth proportional to 24,801.39, 37,202.09 and 9,219.02 is: 13,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.39 : 37,202.09 = 9,219.02 : x
  2. Step 2: Convert to fraction form
    24,801.39/37,202.09 = 9,219.02/x
  3. Step 3: Cross multiply
    24,801.39x = 37,202.09 × 9,219.02
  4. Step 4: Simplify right side
    24,801.39x = 342,966,579.65
  5. Step 5: Solve for x
    x = 342,966,579.65/24,801.39
  6. Step 6: Final answer
    x = 13,828.52

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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.