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Finding the Fourth Proportional to 24,916, 34,384.08 and 13,738.72

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Solution

The fourth proportional to 24,916, 34,384.08 and 13,738.72 is: 18,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,916 : 34,384.08 = 13,738.72 : x
  2. Step 2: Convert to fraction form
    24,916/34,384.08 = 13,738.72/x
  3. Step 3: Cross multiply
    24,916x = 34,384.08 × 13,738.72
  4. Step 4: Simplify right side
    24,916x = 472,393,247.58
  5. Step 5: Solve for x
    x = 472,393,247.58/24,916
  6. Step 6: Final answer
    x = 18,959.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.