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Finding the Fourth Proportional to 13,156.97, 18,156.68 and 7,188.74

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Solution

The fourth proportional to 13,156.97, 18,156.68 and 7,188.74 is: 9,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.97 : 18,156.68 = 7,188.74 : x
  2. Step 2: Convert to fraction form
    13,156.97/18,156.68 = 7,188.74/x
  3. Step 3: Cross multiply
    13,156.97x = 18,156.68 × 7,188.74
  4. Step 4: Simplify right side
    13,156.97x = 130,523,651.78
  5. Step 5: Solve for x
    x = 130,523,651.78/13,156.97
  6. Step 6: Final answer
    x = 9,920.49

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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.