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Finding the Fourth Proportional to 13,200.66, 19,683.24 and 11,733.66

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Solution

The fourth proportional to 13,200.66, 19,683.24 and 11,733.66 is: 17,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.66 : 19,683.24 = 11,733.66 : x
  2. Step 2: Convert to fraction form
    13,200.66/19,683.24 = 11,733.66/x
  3. Step 3: Cross multiply
    13,200.66x = 19,683.24 × 11,733.66
  4. Step 4: Simplify right side
    13,200.66x = 230,956,383.09
  5. Step 5: Solve for x
    x = 230,956,383.09/13,200.66
  6. Step 6: Final answer
    x = 17,495.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.