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Finding the Fourth Proportional to 23,534.70, 35,298.63 and 7,740.33

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Solution

The fourth proportional to 23,534.70, 35,298.63 and 7,740.33 is: 11,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.70 : 35,298.63 = 7,740.33 : x
  2. Step 2: Convert to fraction form
    23,534.70/35,298.63 = 7,740.33/x
  3. Step 3: Cross multiply
    23,534.70x = 35,298.63 × 7,740.33
  4. Step 4: Simplify right side
    23,534.70x = 273,223,044.75
  5. Step 5: Solve for x
    x = 273,223,044.75/23,534.70
  6. Step 6: Final answer
    x = 11,609.37

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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.