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Finding the Fourth Proportional to 15,649.12, 23,478.92 and 5,119.64

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Solution

The fourth proportional to 15,649.12, 23,478.92 and 5,119.64 is: 7,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.12 : 23,478.92 = 5,119.64 : x
  2. Step 2: Convert to fraction form
    15,649.12/23,478.92 = 5,119.64/x
  3. Step 3: Cross multiply
    15,649.12x = 23,478.92 × 5,119.64
  4. Step 4: Simplify right side
    15,649.12x = 120,203,617.99
  5. Step 5: Solve for x
    x = 120,203,617.99/15,649.12
  6. Step 6: Final answer
    x = 7,681.17

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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.