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Finding the Fourth Proportional to 24,974, 34,464.12 and 13,796

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Solution

The fourth proportional to 24,974, 34,464.12 and 13,796 is: 19,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974 : 34,464.12 = 13,796 : x
  2. Step 2: Convert to fraction form
    24,974/34,464.12 = 13,796/x
  3. Step 3: Cross multiply
    24,974x = 34,464.12 × 13,796
  4. Step 4: Simplify right side
    24,974x = 475,466,999.52
  5. Step 5: Solve for x
    x = 475,466,999.52/24,974
  6. Step 6: Final answer
    x = 19,038.48

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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.