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Finding the Fourth Proportional to 19,462.50, 29,214.54 and 8,374.68

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Solution

The fourth proportional to 19,462.50, 29,214.54 and 8,374.68 is: 12,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462.50 : 29,214.54 = 8,374.68 : x
  2. Step 2: Convert to fraction form
    19,462.50/29,214.54 = 8,374.68/x
  3. Step 3: Cross multiply
    19,462.50x = 29,214.54 × 8,374.68
  4. Step 4: Simplify right side
    19,462.50x = 244,662,423.85
  5. Step 5: Solve for x
    x = 244,662,423.85/19,462.50
  6. Step 6: Final answer
    x = 12,570.97

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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.