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Finding the Fourth Proportional to 13,663.56, 18,856.60 and 7,694.66

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Solution

The fourth proportional to 13,663.56, 18,856.60 and 7,694.66 is: 10,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.56 : 18,856.60 = 7,694.66 : x
  2. Step 2: Convert to fraction form
    13,663.56/18,856.60 = 7,694.66/x
  3. Step 3: Cross multiply
    13,663.56x = 18,856.60 × 7,694.66
  4. Step 4: Simplify right side
    13,663.56x = 145,095,125.76
  5. Step 5: Solve for x
    x = 145,095,125.76/13,663.56
  6. Step 6: Final answer
    x = 10,619.13

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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.