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Finding the Fourth Proportional to 16,289.34, 22,459.59 and 13,767

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Solution

The fourth proportional to 16,289.34, 22,459.59 and 13,767 is: 18,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.34 : 22,459.59 = 13,767 : x
  2. Step 2: Convert to fraction form
    16,289.34/22,459.59 = 13,767/x
  3. Step 3: Cross multiply
    16,289.34x = 22,459.59 × 13,767
  4. Step 4: Simplify right side
    16,289.34x = 309,201,175.53
  5. Step 5: Solve for x
    x = 309,201,175.53/16,289.34
  6. Step 6: Final answer
    x = 18,981.81

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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.