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Finding the Fourth Proportional to 18,656.24, 25,742.60 and 10,697

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Solution

The fourth proportional to 18,656.24, 25,742.60 and 10,697 is: 14,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.24 : 25,742.60 = 10,697 : x
  2. Step 2: Convert to fraction form
    18,656.24/25,742.60 = 10,697/x
  3. Step 3: Cross multiply
    18,656.24x = 25,742.60 × 10,697
  4. Step 4: Simplify right side
    18,656.24x = 275,368,592.20
  5. Step 5: Solve for x
    x = 275,368,592.20/18,656.24
  6. Step 6: Final answer
    x = 14,760.13

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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.