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Finding the Fourth Proportional to 13,876.18, 19,150.90 and 7,910

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Solution

The fourth proportional to 13,876.18, 19,150.90 and 7,910 is: 10,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.18 : 19,150.90 = 7,910 : x
  2. Step 2: Convert to fraction form
    13,876.18/19,150.90 = 7,910/x
  3. Step 3: Cross multiply
    13,876.18x = 19,150.90 × 7,910
  4. Step 4: Simplify right side
    13,876.18x = 151,483,619
  5. Step 5: Solve for x
    x = 151,483,619/13,876.18
  6. Step 6: Final answer
    x = 10,916.81

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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.