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Finding the Fourth Proportional to 18,762, 25,892.96 and 10,695.85

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Solution

The fourth proportional to 18,762, 25,892.96 and 10,695.85 is: 14,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,762 : 25,892.96 = 10,695.85 : x
  2. Step 2: Convert to fraction form
    18,762/25,892.96 = 10,695.85/x
  3. Step 3: Cross multiply
    18,762x = 25,892.96 × 10,695.85
  4. Step 4: Simplify right side
    18,762x = 276,947,178.22
  5. Step 5: Solve for x
    x = 276,947,178.22/18,762
  6. Step 6: Final answer
    x = 14,761.07

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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.