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Finding the Fourth Proportional to 13,035.60, 19,559.46 and 7,770.48

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Solution

The fourth proportional to 13,035.60, 19,559.46 and 7,770.48 is: 11,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.60 : 19,559.46 = 7,770.48 : x
  2. Step 2: Convert to fraction form
    13,035.60/19,559.46 = 7,770.48/x
  3. Step 3: Cross multiply
    13,035.60x = 19,559.46 × 7,770.48
  4. Step 4: Simplify right side
    13,035.60x = 151,986,392.74
  5. Step 5: Solve for x
    x = 151,986,392.74/13,035.60
  6. Step 6: Final answer
    x = 11,659.33

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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.