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Finding the Fourth Proportional to 13,201.29, 19,752.72 and 13,053.66

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Solution

The fourth proportional to 13,201.29, 19,752.72 and 13,053.66 is: 19,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.29 : 19,752.72 = 13,053.66 : x
  2. Step 2: Convert to fraction form
    13,201.29/19,752.72 = 13,053.66/x
  3. Step 3: Cross multiply
    13,201.29x = 19,752.72 × 13,053.66
  4. Step 4: Simplify right side
    13,201.29x = 257,845,290.96
  5. Step 5: Solve for x
    x = 257,845,290.96/13,201.29
  6. Step 6: Final answer
    x = 19,531.83

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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.