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Finding the Fourth Proportional to 13,156.82, 18,156.67 and 7,188.86

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Solution

The fourth proportional to 13,156.82, 18,156.67 and 7,188.86 is: 9,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.82 : 18,156.67 = 7,188.86 : x
  2. Step 2: Convert to fraction form
    13,156.82/18,156.67 = 7,188.86/x
  3. Step 3: Cross multiply
    13,156.82x = 18,156.67 × 7,188.86
  4. Step 4: Simplify right side
    13,156.82x = 130,525,667.91
  5. Step 5: Solve for x
    x = 130,525,667.91/13,156.82
  6. Step 6: Final answer
    x = 9,920.76

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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.