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Finding the Fourth Proportional to 22,514.00, 31,071.17 and 12,444.41

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Solution

The fourth proportional to 22,514.00, 31,071.17 and 12,444.41 is: 17,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.00 : 31,071.17 = 12,444.41 : x
  2. Step 2: Convert to fraction form
    22,514.00/31,071.17 = 12,444.41/x
  3. Step 3: Cross multiply
    22,514.00x = 31,071.17 × 12,444.41
  4. Step 4: Simplify right side
    22,514.00x = 386,662,487.45
  5. Step 5: Solve for x
    x = 386,662,487.45/22,514.00
  6. Step 6: Final answer
    x = 17,174.32

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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.