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Finding the Fourth Proportional to 25,893.78, 35,733.08 and 14,563.27

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Solution

The fourth proportional to 25,893.78, 35,733.08 and 14,563.27 is: 20,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.78 : 35,733.08 = 14,563.27 : x
  2. Step 2: Convert to fraction form
    25,893.78/35,733.08 = 14,563.27/x
  3. Step 3: Cross multiply
    25,893.78x = 35,733.08 × 14,563.27
  4. Step 4: Simplify right side
    25,893.78x = 520,390,491.97
  5. Step 5: Solve for x
    x = 520,390,491.97/25,893.78
  6. Step 6: Final answer
    x = 20,097.12

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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.