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Finding the Fourth Proportional to 24,979, 34,471.02 and 13,801

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Solution

The fourth proportional to 24,979, 34,471.02 and 13,801 is: 19,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,979 : 34,471.02 = 13,801 : x
  2. Step 2: Convert to fraction form
    24,979/34,471.02 = 13,801/x
  3. Step 3: Cross multiply
    24,979x = 34,471.02 × 13,801
  4. Step 4: Simplify right side
    24,979x = 475,734,547.02
  5. Step 5: Solve for x
    x = 475,734,547.02/24,979
  6. Step 6: Final answer
    x = 19,045.38

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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.