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Finding the Fourth Proportional to 15,343.99, 23,012.33 and 10,412.30

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Solution

The fourth proportional to 15,343.99, 23,012.33 and 10,412.30 is: 15,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,343.99 : 23,012.33 = 10,412.30 : x
  2. Step 2: Convert to fraction form
    15,343.99/23,012.33 = 10,412.30/x
  3. Step 3: Cross multiply
    15,343.99x = 23,012.33 × 10,412.30
  4. Step 4: Simplify right side
    15,343.99x = 239,611,289.13
  5. Step 5: Solve for x
    x = 239,611,289.13/15,343.99
  6. Step 6: Final answer
    x = 15,615.97

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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.