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Finding the Fourth Proportional to 15,808.40, 23,724.27 and 7,488.41

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Solution

The fourth proportional to 15,808.40, 23,724.27 and 7,488.41 is: 11,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.40 : 23,724.27 = 7,488.41 : x
  2. Step 2: Convert to fraction form
    15,808.40/23,724.27 = 7,488.41/x
  3. Step 3: Cross multiply
    15,808.40x = 23,724.27 × 7,488.41
  4. Step 4: Simplify right side
    15,808.40x = 177,656,942.09
  5. Step 5: Solve for x
    x = 177,656,942.09/15,808.40
  6. Step 6: Final answer
    x = 11,238.13

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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.