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Finding the Fourth Proportional to 19,697.12, 29,556.72 and 10,462.88

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Solution

The fourth proportional to 19,697.12, 29,556.72 and 10,462.88 is: 15,700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.12 : 29,556.72 = 10,462.88 : x
  2. Step 2: Convert to fraction form
    19,697.12/29,556.72 = 10,462.88/x
  3. Step 3: Cross multiply
    19,697.12x = 29,556.72 × 10,462.88
  4. Step 4: Simplify right side
    19,697.12x = 309,248,414.55
  5. Step 5: Solve for x
    x = 309,248,414.55/19,697.12
  6. Step 6: Final answer
    x = 15,700.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.