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Finding the Fourth Proportional to 16,381.71, 22,583.86 and 13,853.66

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Solution

The fourth proportional to 16,381.71, 22,583.86 and 13,853.66 is: 19,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.71 : 22,583.86 = 13,853.66 : x
  2. Step 2: Convert to fraction form
    16,381.71/22,583.86 = 13,853.66/x
  3. Step 3: Cross multiply
    16,381.71x = 22,583.86 × 13,853.66
  4. Step 4: Simplify right side
    16,381.71x = 312,868,970.37
  5. Step 5: Solve for x
    x = 312,868,970.37/16,381.71
  6. Step 6: Final answer
    x = 19,098.68

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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.