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Finding the Fourth Proportional to 13,666.28, 18,859.09 and 7,697.83

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Solution

The fourth proportional to 13,666.28, 18,859.09 and 7,697.83 is: 10,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.28 : 18,859.09 = 7,697.83 : x
  2. Step 2: Convert to fraction form
    13,666.28/18,859.09 = 7,697.83/x
  3. Step 3: Cross multiply
    13,666.28x = 18,859.09 × 7,697.83
  4. Step 4: Simplify right side
    13,666.28x = 145,174,068.77
  5. Step 5: Solve for x
    x = 145,174,068.77/13,666.28
  6. Step 6: Final answer
    x = 10,622.79

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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.