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Finding the Fourth Proportional to 15,808.23, 23,724.03 and 7,488.26

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Solution

The fourth proportional to 15,808.23, 23,724.03 and 7,488.26 is: 11,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.23 : 23,724.03 = 7,488.26 : x
  2. Step 2: Convert to fraction form
    15,808.23/23,724.03 = 7,488.26/x
  3. Step 3: Cross multiply
    15,808.23x = 23,724.03 × 7,488.26
  4. Step 4: Simplify right side
    15,808.23x = 177,651,704.89
  5. Step 5: Solve for x
    x = 177,651,704.89/15,808.23
  6. Step 6: Final answer
    x = 11,237.93

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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.