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Finding the Fourth Proportional to 13,156.77, 18,156.78 and 7,850.87

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Solution

The fourth proportional to 13,156.77, 18,156.78 and 7,850.87 is: 10,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.77 : 18,156.78 = 7,850.87 : x
  2. Step 2: Convert to fraction form
    13,156.77/18,156.78 = 7,850.87/x
  3. Step 3: Cross multiply
    13,156.77x = 18,156.78 × 7,850.87
  4. Step 4: Simplify right side
    13,156.77x = 142,546,428.61
  5. Step 5: Solve for x
    x = 142,546,428.61/13,156.77
  6. Step 6: Final answer
    x = 10,834.45

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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.