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Finding the Fourth Proportional to 19,345.50, 29,039.04 and 8,257.41

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Solution

The fourth proportional to 19,345.50, 29,039.04 and 8,257.41 is: 12,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,345.50 : 29,039.04 = 8,257.41 : x
  2. Step 2: Convert to fraction form
    19,345.50/29,039.04 = 8,257.41/x
  3. Step 3: Cross multiply
    19,345.50x = 29,039.04 × 8,257.41
  4. Step 4: Simplify right side
    19,345.50x = 239,787,259.29
  5. Step 5: Solve for x
    x = 239,787,259.29/19,345.50
  6. Step 6: Final answer
    x = 12,394.99

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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.