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Finding the Fourth Proportional to 23,569.79, 35,358.53 and 7,770.33

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Solution

The fourth proportional to 23,569.79, 35,358.53 and 7,770.33 is: 11,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,569.79 : 35,358.53 = 7,770.33 : x
  2. Step 2: Convert to fraction form
    23,569.79/35,358.53 = 7,770.33/x
  3. Step 3: Cross multiply
    23,569.79x = 35,358.53 × 7,770.33
  4. Step 4: Simplify right side
    23,569.79x = 274,747,407.56
  5. Step 5: Solve for x
    x = 274,747,407.56/23,569.79
  6. Step 6: Final answer
    x = 11,656.76

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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.