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Finding the Fourth Proportional to 22,514, 31,066.72 and 14,017.44

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Solution

The fourth proportional to 22,514, 31,066.72 and 14,017.44 is: 19,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514 : 31,066.72 = 14,017.44 : x
  2. Step 2: Convert to fraction form
    22,514/31,066.72 = 14,017.44/x
  3. Step 3: Cross multiply
    22,514x = 31,066.72 × 14,017.44
  4. Step 4: Simplify right side
    22,514x = 435,475,883.60
  5. Step 5: Solve for x
    x = 435,475,883.60/22,514
  6. Step 6: Final answer
    x = 19,342.45

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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.