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Finding the Fourth Proportional to 13,587.84, 18,788.22 and 11,838.24

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Solution

The fourth proportional to 13,587.84, 18,788.22 and 11,838.24 is: 16,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.84 : 18,788.22 = 11,838.24 : x
  2. Step 2: Convert to fraction form
    13,587.84/18,788.22 = 11,838.24/x
  3. Step 3: Cross multiply
    13,587.84x = 18,788.22 × 11,838.24
  4. Step 4: Simplify right side
    13,587.84x = 222,419,457.53
  5. Step 5: Solve for x
    x = 222,419,457.53/13,587.84
  6. Step 6: Final answer
    x = 16,369.01

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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.