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Finding the Fourth Proportional to 24,837.21, 37,259.52 and 8,199

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Solution

The fourth proportional to 24,837.21, 37,259.52 and 8,199 is: 12,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837.21 : 37,259.52 = 8,199 : x
  2. Step 2: Convert to fraction form
    24,837.21/37,259.52 = 8,199/x
  3. Step 3: Cross multiply
    24,837.21x = 37,259.52 × 8,199
  4. Step 4: Simplify right side
    24,837.21x = 305,490,804.48
  5. Step 5: Solve for x
    x = 305,490,804.48/24,837.21
  6. Step 6: Final answer
    x = 12,299.72

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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.