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Finding the Fourth Proportional to 23,394.60, 35,093.70 and 7,812.24

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Solution

The fourth proportional to 23,394.60, 35,093.70 and 7,812.24 is: 11,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,394.60 : 35,093.70 = 7,812.24 : x
  2. Step 2: Convert to fraction form
    23,394.60/35,093.70 = 7,812.24/x
  3. Step 3: Cross multiply
    23,394.60x = 35,093.70 × 7,812.24
  4. Step 4: Simplify right side
    23,394.60x = 274,160,406.89
  5. Step 5: Solve for x
    x = 274,160,406.89/23,394.60
  6. Step 6: Final answer
    x = 11,718.96

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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.