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Finding the Fourth Proportional to 14,929.64, 22,391.04 and 6,167.24

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Solution

The fourth proportional to 14,929.64, 22,391.04 and 6,167.24 is: 9,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,929.64 : 22,391.04 = 6,167.24 : x
  2. Step 2: Convert to fraction form
    14,929.64/22,391.04 = 6,167.24/x
  3. Step 3: Cross multiply
    14,929.64x = 22,391.04 × 6,167.24
  4. Step 4: Simplify right side
    14,929.64x = 138,090,917.53
  5. Step 5: Solve for x
    x = 138,090,917.53/14,929.64
  6. Step 6: Final answer
    x = 9,249.45

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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.