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Finding the Fourth Proportional to 22,670.80, 31,273.38 and 14,479.12

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Solution

The fourth proportional to 22,670.80, 31,273.38 and 14,479.12 is: 19,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670.80 : 31,273.38 = 14,479.12 : x
  2. Step 2: Convert to fraction form
    22,670.80/31,273.38 = 14,479.12/x
  3. Step 3: Cross multiply
    22,670.80x = 31,273.38 × 14,479.12
  4. Step 4: Simplify right side
    22,670.80x = 452,811,021.83
  5. Step 5: Solve for x
    x = 452,811,021.83/22,670.80
  6. Step 6: Final answer
    x = 19,973.31

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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.