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Finding the Fourth Proportional to 13,486.79, 18,610.23 and 7,820.36

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Solution

The fourth proportional to 13,486.79, 18,610.23 and 7,820.36 is: 10,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.79 : 18,610.23 = 7,820.36 : x
  2. Step 2: Convert to fraction form
    13,486.79/18,610.23 = 7,820.36/x
  3. Step 3: Cross multiply
    13,486.79x = 18,610.23 × 7,820.36
  4. Step 4: Simplify right side
    13,486.79x = 145,538,698.28
  5. Step 5: Solve for x
    x = 145,538,698.28/13,486.79
  6. Step 6: Final answer
    x = 10,791.20

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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.