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Finding the Fourth Proportional to 15,498.54, 23,234.14 and 5,636.08

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Solution

The fourth proportional to 15,498.54, 23,234.14 and 5,636.08 is: 8,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.54 : 23,234.14 = 5,636.08 : x
  2. Step 2: Convert to fraction form
    15,498.54/23,234.14 = 5,636.08/x
  3. Step 3: Cross multiply
    15,498.54x = 23,234.14 × 5,636.08
  4. Step 4: Simplify right side
    15,498.54x = 130,949,507.86
  5. Step 5: Solve for x
    x = 130,949,507.86/15,498.54
  6. Step 6: Final answer
    x = 8,449.15

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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.