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Finding the Fourth Proportional to 22,649.07, 31,270.52 and 14,713.91

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Solution

The fourth proportional to 22,649.07, 31,270.52 and 14,713.91 is: 20,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.07 : 31,270.52 = 14,713.91 : x
  2. Step 2: Convert to fraction form
    22,649.07/31,270.52 = 14,713.91/x
  3. Step 3: Cross multiply
    22,649.07x = 31,270.52 × 14,713.91
  4. Step 4: Simplify right side
    22,649.07x = 460,111,616.93
  5. Step 5: Solve for x
    x = 460,111,616.93/22,649.07
  6. Step 6: Final answer
    x = 20,314.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.