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Finding the Fourth Proportional to 13,881.67, 19,156.64 and 7,508.27

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Solution

The fourth proportional to 13,881.67, 19,156.64 and 7,508.27 is: 10,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.67 : 19,156.64 = 7,508.27 : x
  2. Step 2: Convert to fraction form
    13,881.67/19,156.64 = 7,508.27/x
  3. Step 3: Cross multiply
    13,881.67x = 19,156.64 × 7,508.27
  4. Step 4: Simplify right side
    13,881.67x = 143,833,170.24
  5. Step 5: Solve for x
    x = 143,833,170.24/13,881.67
  6. Step 6: Final answer
    x = 10,361.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.