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Finding the Fourth Proportional to 24,869.72, 37,303.35 and 9,286.13

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Solution

The fourth proportional to 24,869.72, 37,303.35 and 9,286.13 is: 13,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869.72 : 37,303.35 = 9,286.13 : x
  2. Step 2: Convert to fraction form
    24,869.72/37,303.35 = 9,286.13/x
  3. Step 3: Cross multiply
    24,869.72x = 37,303.35 × 9,286.13
  4. Step 4: Simplify right side
    24,869.72x = 346,403,571.02
  5. Step 5: Solve for x
    x = 346,403,571.02/24,869.72
  6. Step 6: Final answer
    x = 13,928.73

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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.