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Finding the Fourth Proportional to 22,477.70, 31,029.16 and 14,523.80

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Solution

The fourth proportional to 22,477.70, 31,029.16 and 14,523.80 is: 20,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.70 : 31,029.16 = 14,523.80 : x
  2. Step 2: Convert to fraction form
    22,477.70/31,029.16 = 14,523.80/x
  3. Step 3: Cross multiply
    22,477.70x = 31,029.16 × 14,523.80
  4. Step 4: Simplify right side
    22,477.70x = 450,661,314.01
  5. Step 5: Solve for x
    x = 450,661,314.01/22,477.70
  6. Step 6: Final answer
    x = 20,049.26

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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.