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Finding the Fourth Proportional to 12,179.13, 16,807.20 and 6,590.13

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Solution

The fourth proportional to 12,179.13, 16,807.20 and 6,590.13 is: 9,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.13 : 16,807.20 = 6,590.13 : x
  2. Step 2: Convert to fraction form
    12,179.13/16,807.20 = 6,590.13/x
  3. Step 3: Cross multiply
    12,179.13x = 16,807.20 × 6,590.13
  4. Step 4: Simplify right side
    12,179.13x = 110,761,632.94
  5. Step 5: Solve for x
    x = 110,761,632.94/12,179.13
  6. Step 6: Final answer
    x = 9,094.38

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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.