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Finding the Fourth Proportional to 13,608.95, 20,417.06 and 7,769.66

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Solution

The fourth proportional to 13,608.95, 20,417.06 and 7,769.66 is: 11,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.95 : 20,417.06 = 7,769.66 : x
  2. Step 2: Convert to fraction form
    13,608.95/20,417.06 = 7,769.66/x
  3. Step 3: Cross multiply
    13,608.95x = 20,417.06 × 7,769.66
  4. Step 4: Simplify right side
    13,608.95x = 158,633,531.74
  5. Step 5: Solve for x
    x = 158,633,531.74/13,608.95
  6. Step 6: Final answer
    x = 11,656.56

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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.