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Finding the Fourth Proportional to 22,806.29, 31,474.98 and 13,854.69

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Solution

The fourth proportional to 22,806.29, 31,474.98 and 13,854.69 is: 19,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.29 : 31,474.98 = 13,854.69 : x
  2. Step 2: Convert to fraction form
    22,806.29/31,474.98 = 13,854.69/x
  3. Step 3: Cross multiply
    22,806.29x = 31,474.98 × 13,854.69
  4. Step 4: Simplify right side
    22,806.29x = 436,076,090.66
  5. Step 5: Solve for x
    x = 436,076,090.66/22,806.29
  6. Step 6: Final answer
    x = 19,120.87

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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.