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Finding the Fourth Proportional to 25,824.68, 35,643.50 and 15,218

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Solution

The fourth proportional to 25,824.68, 35,643.50 and 15,218 is: 21,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824.68 : 35,643.50 = 15,218 : x
  2. Step 2: Convert to fraction form
    25,824.68/35,643.50 = 15,218/x
  3. Step 3: Cross multiply
    25,824.68x = 35,643.50 × 15,218
  4. Step 4: Simplify right side
    25,824.68x = 542,422,783
  5. Step 5: Solve for x
    x = 542,422,783/25,824.68
  6. Step 6: Final answer
    x = 21,004.05

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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.