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Finding the Fourth Proportional to 25,866, 35,701.56 and 14,694.48

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Solution

The fourth proportional to 25,866, 35,701.56 and 14,694.48 is: 20,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866 : 35,701.56 = 14,694.48 : x
  2. Step 2: Convert to fraction form
    25,866/35,701.56 = 14,694.48/x
  3. Step 3: Cross multiply
    25,866x = 35,701.56 × 14,694.48
  4. Step 4: Simplify right side
    25,866x = 524,615,859.39
  5. Step 5: Solve for x
    x = 524,615,859.39/25,866
  6. Step 6: Final answer
    x = 20,282.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.