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Finding the Fourth Proportional to 25,772, 35,565.36 and 13,996

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Solution

The fourth proportional to 25,772, 35,565.36 and 13,996 is: 19,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772 : 35,565.36 = 13,996 : x
  2. Step 2: Convert to fraction form
    25,772/35,565.36 = 13,996/x
  3. Step 3: Cross multiply
    25,772x = 35,565.36 × 13,996
  4. Step 4: Simplify right side
    25,772x = 497,772,778.56
  5. Step 5: Solve for x
    x = 497,772,778.56/25,772
  6. Step 6: Final answer
    x = 19,314.48

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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.