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Finding the Fourth Proportional to 15,164.15, 22,745.95 and 6,399.14

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Solution

The fourth proportional to 15,164.15, 22,745.95 and 6,399.14 is: 9,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.15 : 22,745.95 = 6,399.14 : x
  2. Step 2: Convert to fraction form
    15,164.15/22,745.95 = 6,399.14/x
  3. Step 3: Cross multiply
    15,164.15x = 22,745.95 × 6,399.14
  4. Step 4: Simplify right side
    15,164.15x = 145,554,388.76
  5. Step 5: Solve for x
    x = 145,554,388.76/15,164.15
  6. Step 6: Final answer
    x = 9,598.59

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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.