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Finding the Fourth Proportional to 24,844.23, 37,266.35 and 7,314.06

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Solution

The fourth proportional to 24,844.23, 37,266.35 and 7,314.06 is: 10,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,844.23 : 37,266.35 = 7,314.06 : x
  2. Step 2: Convert to fraction form
    24,844.23/37,266.35 = 7,314.06/x
  3. Step 3: Cross multiply
    24,844.23x = 37,266.35 × 7,314.06
  4. Step 4: Simplify right side
    24,844.23x = 272,568,423.06
  5. Step 5: Solve for x
    x = 272,568,423.06/24,844.23
  6. Step 6: Final answer
    x = 10,971.10

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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.