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Finding the Fourth Proportional to 13,609.95, 20,418.70 and 7,770.66

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Solution

The fourth proportional to 13,609.95, 20,418.70 and 7,770.66 is: 11,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.95 : 20,418.70 = 7,770.66 : x
  2. Step 2: Convert to fraction form
    13,609.95/20,418.70 = 7,770.66/x
  3. Step 3: Cross multiply
    13,609.95x = 20,418.70 × 7,770.66
  4. Step 4: Simplify right side
    13,609.95x = 158,666,673.25
  5. Step 5: Solve for x
    x = 158,666,673.25/13,609.95
  6. Step 6: Final answer
    x = 11,658.14

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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.