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Finding the Fourth Proportional to 25,882.78, 35,718.60 and 14,551.64

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Solution

The fourth proportional to 25,882.78, 35,718.60 and 14,551.64 is: 20,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.78 : 35,718.60 = 14,551.64 : x
  2. Step 2: Convert to fraction form
    25,882.78/35,718.60 = 14,551.64/x
  3. Step 3: Cross multiply
    25,882.78x = 35,718.60 × 14,551.64
  4. Step 4: Simplify right side
    25,882.78x = 519,764,208.50
  5. Step 5: Solve for x
    x = 519,764,208.50/25,882.78
  6. Step 6: Final answer
    x = 20,081.47

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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.