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Finding the Fourth Proportional to 24,856.36, 37,271.70 and 7,323.96

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Solution

The fourth proportional to 24,856.36, 37,271.70 and 7,323.96 is: 10,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.36 : 37,271.70 = 7,323.96 : x
  2. Step 2: Convert to fraction form
    24,856.36/37,271.70 = 7,323.96/x
  3. Step 3: Cross multiply
    24,856.36x = 37,271.70 × 7,323.96
  4. Step 4: Simplify right side
    24,856.36x = 272,976,439.93
  5. Step 5: Solve for x
    x = 272,976,439.93/24,856.36
  6. Step 6: Final answer
    x = 10,982.16

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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.