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Finding the Fourth Proportional to 24,926.48, 37,389.36 and 7,408.16

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Solution

The fourth proportional to 24,926.48, 37,389.36 and 7,408.16 is: 11,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,926.48 : 37,389.36 = 7,408.16 : x
  2. Step 2: Convert to fraction form
    24,926.48/37,389.36 = 7,408.16/x
  3. Step 3: Cross multiply
    24,926.48x = 37,389.36 × 7,408.16
  4. Step 4: Simplify right side
    24,926.48x = 276,986,361.18
  5. Step 5: Solve for x
    x = 276,986,361.18/24,926.48
  6. Step 6: Final answer
    x = 11,112.13

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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.