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Finding the Fourth Proportional to 15,933.49, 23,903.27 and 7,614.16

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Solution

The fourth proportional to 15,933.49, 23,903.27 and 7,614.16 is: 11,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,933.49 : 23,903.27 = 7,614.16 : x
  2. Step 2: Convert to fraction form
    15,933.49/23,903.27 = 7,614.16/x
  3. Step 3: Cross multiply
    15,933.49x = 23,903.27 × 7,614.16
  4. Step 4: Simplify right side
    15,933.49x = 182,003,322.30
  5. Step 5: Solve for x
    x = 182,003,322.30/15,933.49
  6. Step 6: Final answer
    x = 11,422.69

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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.