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Finding the Fourth Proportional to 25,823, 35,641.82 and 15,759.77

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Solution

The fourth proportional to 25,823, 35,641.82 and 15,759.77 is: 21,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823 : 35,641.82 = 15,759.77 : x
  2. Step 2: Convert to fraction form
    25,823/35,641.82 = 15,759.77/x
  3. Step 3: Cross multiply
    25,823x = 35,641.82 × 15,759.77
  4. Step 4: Simplify right side
    25,823x = 561,706,628.57
  5. Step 5: Solve for x
    x = 561,706,628.57/25,823
  6. Step 6: Final answer
    x = 21,752.18

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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.