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Finding the Fourth Proportional to 16,381.59, 22,583.68 and 13,853.53

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Solution

The fourth proportional to 16,381.59, 22,583.68 and 13,853.53 is: 19,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.59 : 22,583.68 = 13,853.53 : x
  2. Step 2: Convert to fraction form
    16,381.59/22,583.68 = 13,853.53/x
  3. Step 3: Cross multiply
    16,381.59x = 22,583.68 × 13,853.53
  4. Step 4: Simplify right side
    16,381.59x = 312,863,688.39
  5. Step 5: Solve for x
    x = 312,863,688.39/16,381.59
  6. Step 6: Final answer
    x = 19,098.49

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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.