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Finding the Fourth Proportional to 13,201.86, 19,802.63 and 5,306.39

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Solution

The fourth proportional to 13,201.86, 19,802.63 and 5,306.39 is: 7,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.86 : 19,802.63 = 5,306.39 : x
  2. Step 2: Convert to fraction form
    13,201.86/19,802.63 = 5,306.39/x
  3. Step 3: Cross multiply
    13,201.86x = 19,802.63 × 5,306.39
  4. Step 4: Simplify right side
    13,201.86x = 105,080,352.26
  5. Step 5: Solve for x
    x = 105,080,352.26/13,201.86
  6. Step 6: Final answer
    x = 7,959.51

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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.