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Finding the Fourth Proportional to 24,852.68, 37,266.24 and 7,320.20

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Solution

The fourth proportional to 24,852.68, 37,266.24 and 7,320.20 is: 10,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.68 : 37,266.24 = 7,320.20 : x
  2. Step 2: Convert to fraction form
    24,852.68/37,266.24 = 7,320.20/x
  3. Step 3: Cross multiply
    24,852.68x = 37,266.24 × 7,320.20
  4. Step 4: Simplify right side
    24,852.68x = 272,796,330.05
  5. Step 5: Solve for x
    x = 272,796,330.05/24,852.68
  6. Step 6: Final answer
    x = 10,976.54

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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.