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Finding the Fourth Proportional to 24,805.23, 37,258.74 and 16,384.17

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Solution

The fourth proportional to 24,805.23, 37,258.74 and 16,384.17 is: 24,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.23 : 37,258.74 = 16,384.17 : x
  2. Step 2: Convert to fraction form
    24,805.23/37,258.74 = 16,384.17/x
  3. Step 3: Cross multiply
    24,805.23x = 37,258.74 × 16,384.17
  4. Step 4: Simplify right side
    24,805.23x = 610,453,530.15
  5. Step 5: Solve for x
    x = 610,453,530.15/24,805.23
  6. Step 6: Final answer
    x = 24,609.87

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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.