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Finding the Fourth Proportional to 25,993, 35,871.06 and 14,815

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Solution

The fourth proportional to 25,993, 35,871.06 and 14,815 is: 20,445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993 : 35,871.06 = 14,815 : x
  2. Step 2: Convert to fraction form
    25,993/35,871.06 = 14,815/x
  3. Step 3: Cross multiply
    25,993x = 35,871.06 × 14,815
  4. Step 4: Simplify right side
    25,993x = 531,429,753.90
  5. Step 5: Solve for x
    x = 531,429,753.90/25,993
  6. Step 6: Final answer
    x = 20,445.11

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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.