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Finding the Fourth Proportional to 25,891.78, 35,730.32 and 14,561.27

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Solution

The fourth proportional to 25,891.78, 35,730.32 and 14,561.27 is: 20,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,891.78 : 35,730.32 = 14,561.27 : x
  2. Step 2: Convert to fraction form
    25,891.78/35,730.32 = 14,561.27/x
  3. Step 3: Cross multiply
    25,891.78x = 35,730.32 × 14,561.27
  4. Step 4: Simplify right side
    25,891.78x = 520,278,826.76
  5. Step 5: Solve for x
    x = 520,278,826.76/25,891.78
  6. Step 6: Final answer
    x = 20,094.36

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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.