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Finding the Fourth Proportional to 12,307.08, 16,982.52 and 7,000.80

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Solution

The fourth proportional to 12,307.08, 16,982.52 and 7,000.80 is: 9,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.08 : 16,982.52 = 7,000.80 : x
  2. Step 2: Convert to fraction form
    12,307.08/16,982.52 = 7,000.80/x
  3. Step 3: Cross multiply
    12,307.08x = 16,982.52 × 7,000.80
  4. Step 4: Simplify right side
    12,307.08x = 118,891,226.02
  5. Step 5: Solve for x
    x = 118,891,226.02/12,307.08
  6. Step 6: Final answer
    x = 9,660.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.