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Finding the Fourth Proportional to 24,993, 34,490.70 and 13,815

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Solution

The fourth proportional to 24,993, 34,490.70 and 13,815 is: 19,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,993 : 34,490.70 = 13,815 : x
  2. Step 2: Convert to fraction form
    24,993/34,490.70 = 13,815/x
  3. Step 3: Cross multiply
    24,993x = 34,490.70 × 13,815
  4. Step 4: Simplify right side
    24,993x = 476,489,020.50
  5. Step 5: Solve for x
    x = 476,489,020.50/24,993
  6. Step 6: Final answer
    x = 19,064.90

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1.5x scale

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.