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Finding the Fourth Proportional to 19,549.82, 29,302.86 and 8,439.86

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Solution

The fourth proportional to 19,549.82, 29,302.86 and 8,439.86 is: 12,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.82 : 29,302.86 = 8,439.86 : x
  2. Step 2: Convert to fraction form
    19,549.82/29,302.86 = 8,439.86/x
  3. Step 3: Cross multiply
    19,549.82x = 29,302.86 × 8,439.86
  4. Step 4: Simplify right side
    19,549.82x = 247,312,140.91
  5. Step 5: Solve for x
    x = 247,312,140.91/19,549.82
  6. Step 6: Final answer
    x = 12,650.35

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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.