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Finding the Fourth Proportional to 13,117.75, 18,102.27 and 7,149.49

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Solution

The fourth proportional to 13,117.75, 18,102.27 and 7,149.49 is: 9,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.75 : 18,102.27 = 7,149.49 : x
  2. Step 2: Convert to fraction form
    13,117.75/18,102.27 = 7,149.49/x
  3. Step 3: Cross multiply
    13,117.75x = 18,102.27 × 7,149.49
  4. Step 4: Simplify right side
    13,117.75x = 129,421,998.34
  5. Step 5: Solve for x
    x = 129,421,998.34/13,117.75
  6. Step 6: Final answer
    x = 9,866.17

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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.