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Finding the Fourth Proportional to 15,623.01, 23,405.09 and 7,716.27

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Solution

The fourth proportional to 15,623.01, 23,405.09 and 7,716.27 is: 11,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,623.01 : 23,405.09 = 7,716.27 : x
  2. Step 2: Convert to fraction form
    15,623.01/23,405.09 = 7,716.27/x
  3. Step 3: Cross multiply
    15,623.01x = 23,405.09 × 7,716.27
  4. Step 4: Simplify right side
    15,623.01x = 180,599,993.81
  5. Step 5: Solve for x
    x = 180,599,993.81/15,623.01
  6. Step 6: Final answer
    x = 11,559.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.