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Finding the Fourth Proportional to 15,723, 23,574.30 and 8,330.94

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Solution

The fourth proportional to 15,723, 23,574.30 and 8,330.94 is: 12,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723 : 23,574.30 = 8,330.94 : x
  2. Step 2: Convert to fraction form
    15,723/23,574.30 = 8,330.94/x
  3. Step 3: Cross multiply
    15,723x = 23,574.30 × 8,330.94
  4. Step 4: Simplify right side
    15,723x = 196,396,078.84
  5. Step 5: Solve for x
    x = 196,396,078.84/15,723
  6. Step 6: Final answer
    x = 12,491.01

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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.