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Finding the Fourth Proportional to 25,965.81, 35,833.52 and 15,894.07

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Solution

The fourth proportional to 25,965.81, 35,833.52 and 15,894.07 is: 21,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965.81 : 35,833.52 = 15,894.07 : x
  2. Step 2: Convert to fraction form
    25,965.81/35,833.52 = 15,894.07/x
  3. Step 3: Cross multiply
    25,965.81x = 35,833.52 × 15,894.07
  4. Step 4: Simplify right side
    25,965.81x = 569,540,216.59
  5. Step 5: Solve for x
    x = 569,540,216.59/25,965.81
  6. Step 6: Final answer
    x = 21,934.24

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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.