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Finding the Fourth Proportional to 12,597.36, 18,896.04 and 5,663.76

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Solution

The fourth proportional to 12,597.36, 18,896.04 and 5,663.76 is: 8,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.36 : 18,896.04 = 5,663.76 : x
  2. Step 2: Convert to fraction form
    12,597.36/18,896.04 = 5,663.76/x
  3. Step 3: Cross multiply
    12,597.36x = 18,896.04 × 5,663.76
  4. Step 4: Simplify right side
    12,597.36x = 107,022,635.51
  5. Step 5: Solve for x
    x = 107,022,635.51/12,597.36
  6. Step 6: Final answer
    x = 8,495.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.