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Finding the Fourth Proportional to 24,802.08, 37,208.32 and 7,270.48

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Solution

The fourth proportional to 24,802.08, 37,208.32 and 7,270.48 is: 10,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.08 : 37,208.32 = 7,270.48 : x
  2. Step 2: Convert to fraction form
    24,802.08/37,208.32 = 7,270.48/x
  3. Step 3: Cross multiply
    24,802.08x = 37,208.32 × 7,270.48
  4. Step 4: Simplify right side
    24,802.08x = 270,522,346.39
  5. Step 5: Solve for x
    x = 270,522,346.39/24,802.08
  6. Step 6: Final answer
    x = 10,907.24

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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.