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Finding the Fourth Proportional to 25,842, 35,662 and 14,511.56

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Solution

The fourth proportional to 25,842, 35,662 and 14,511.56 is: 20,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842 : 35,662 = 14,511.56 : x
  2. Step 2: Convert to fraction form
    25,842/35,662 = 14,511.56/x
  3. Step 3: Cross multiply
    25,842x = 35,662 × 14,511.56
  4. Step 4: Simplify right side
    25,842x = 517,511,252.72
  5. Step 5: Solve for x
    x = 517,511,252.72/25,842
  6. Step 6: Final answer
    x = 20,025.98

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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.