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Finding the Fourth Proportional to 12,384.50, 17,093.79 and 7,666.02

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Solution

The fourth proportional to 12,384.50, 17,093.79 and 7,666.02 is: 10,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.50 : 17,093.79 = 7,666.02 : x
  2. Step 2: Convert to fraction form
    12,384.50/17,093.79 = 7,666.02/x
  3. Step 3: Cross multiply
    12,384.50x = 17,093.79 × 7,666.02
  4. Step 4: Simplify right side
    12,384.50x = 131,041,336.02
  5. Step 5: Solve for x
    x = 131,041,336.02/12,384.50
  6. Step 6: Final answer
    x = 10,581.08

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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.