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Finding the Fourth Proportional to 24,698.81, 37,054.46 and 7,168.25

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Solution

The fourth proportional to 24,698.81, 37,054.46 and 7,168.25 is: 10,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.81 : 37,054.46 = 7,168.25 : x
  2. Step 2: Convert to fraction form
    24,698.81/37,054.46 = 7,168.25/x
  3. Step 3: Cross multiply
    24,698.81x = 37,054.46 × 7,168.25
  4. Step 4: Simplify right side
    24,698.81x = 265,615,597.05
  5. Step 5: Solve for x
    x = 265,615,597.05/24,698.81
  6. Step 6: Final answer
    x = 10,754.19

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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.