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Finding the Fourth Proportional to 24,862.56, 37,286.40 and 7,328.16

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Solution

The fourth proportional to 24,862.56, 37,286.40 and 7,328.16 is: 10,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,862.56 : 37,286.40 = 7,328.16 : x
  2. Step 2: Convert to fraction form
    24,862.56/37,286.40 = 7,328.16/x
  3. Step 3: Cross multiply
    24,862.56x = 37,286.40 × 7,328.16
  4. Step 4: Simplify right side
    24,862.56x = 273,240,705.02
  5. Step 5: Solve for x
    x = 273,240,705.02/24,862.56
  6. Step 6: Final answer
    x = 10,990.05

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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.