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Finding the Fourth Proportional to 13,665.87, 18,860.58 and 7,697.79

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Solution

The fourth proportional to 13,665.87, 18,860.58 and 7,697.79 is: 10,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.87 : 18,860.58 = 7,697.79 : x
  2. Step 2: Convert to fraction form
    13,665.87/18,860.58 = 7,697.79/x
  3. Step 3: Cross multiply
    13,665.87x = 18,860.58 × 7,697.79
  4. Step 4: Simplify right side
    13,665.87x = 145,184,784.12
  5. Step 5: Solve for x
    x = 145,184,784.12/13,665.87
  6. Step 6: Final answer
    x = 10,623.90

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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.