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Finding the Fourth Proportional to 17,916.54, 24,723.81 and 9,959.10

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Solution

The fourth proportional to 17,916.54, 24,723.81 and 9,959.10 is: 13,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.54 : 24,723.81 = 9,959.10 : x
  2. Step 2: Convert to fraction form
    17,916.54/24,723.81 = 9,959.10/x
  3. Step 3: Cross multiply
    17,916.54x = 24,723.81 × 9,959.10
  4. Step 4: Simplify right side
    17,916.54x = 246,226,896.17
  5. Step 5: Solve for x
    x = 246,226,896.17/17,916.54
  6. Step 6: Final answer
    x = 13,742.99

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Why These Related Problems?

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