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Finding the Fourth Proportional to 17,688.20, 24,405.30 and 11,393

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Solution

The fourth proportional to 17,688.20, 24,405.30 and 11,393 is: 15,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.20 : 24,405.30 = 11,393 : x
  2. Step 2: Convert to fraction form
    17,688.20/24,405.30 = 11,393/x
  3. Step 3: Cross multiply
    17,688.20x = 24,405.30 × 11,393
  4. Step 4: Simplify right side
    17,688.20x = 278,049,582.90
  5. Step 5: Solve for x
    x = 278,049,582.90/17,688.20
  6. Step 6: Final answer
    x = 15,719.50

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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.