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Finding the Fourth Proportional to 25,971.32, 35,859.62 and 15,913.50

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Solution

The fourth proportional to 25,971.32, 35,859.62 and 15,913.50 is: 21,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.32 : 35,859.62 = 15,913.50 : x
  2. Step 2: Convert to fraction form
    25,971.32/35,859.62 = 15,913.50/x
  3. Step 3: Cross multiply
    25,971.32x = 35,859.62 × 15,913.50
  4. Step 4: Simplify right side
    25,971.32x = 570,651,983.30
  5. Step 5: Solve for x
    x = 570,651,983.30/25,971.32
  6. Step 6: Final answer
    x = 21,972.39

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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.