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Finding the Fourth Proportional to 15,674.20, 23,509.13 and 5,812.11

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Solution

The fourth proportional to 15,674.20, 23,509.13 and 5,812.11 is: 8,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.20 : 23,509.13 = 5,812.11 : x
  2. Step 2: Convert to fraction form
    15,674.20/23,509.13 = 5,812.11/x
  3. Step 3: Cross multiply
    15,674.20x = 23,509.13 × 5,812.11
  4. Step 4: Simplify right side
    15,674.20x = 136,637,649.56
  5. Step 5: Solve for x
    x = 136,637,649.56/15,674.20
  6. Step 6: Final answer
    x = 8,717.36

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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.