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Finding the Fourth Proportional to 27,297, 40,951.98 and 8,829

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Solution

The fourth proportional to 27,297, 40,951.98 and 8,829 is: 13,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,297 : 40,951.98 = 8,829 : x
  2. Step 2: Convert to fraction form
    27,297/40,951.98 = 8,829/x
  3. Step 3: Cross multiply
    27,297x = 40,951.98 × 8,829
  4. Step 4: Simplify right side
    27,297x = 361,565,031.42
  5. Step 5: Solve for x
    x = 361,565,031.42/27,297
  6. Step 6: Final answer
    x = 13,245.60

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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.