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Finding the Fourth Proportional to 18,657, 25,746.68 and 10,273.50

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Solution

The fourth proportional to 18,657, 25,746.68 and 10,273.50 is: 14,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 25,746.68 = 10,273.50 : x
  2. Step 2: Convert to fraction form
    18,657/25,746.68 = 10,273.50/x
  3. Step 3: Cross multiply
    18,657x = 25,746.68 × 10,273.50
  4. Step 4: Simplify right side
    18,657x = 264,508,465.61
  5. Step 5: Solve for x
    x = 264,508,465.61/18,657
  6. Step 6: Final answer
    x = 14,177.44

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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.