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Finding the Fourth Proportional to 23,414.96, 35,124.06 and 7,830.56

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Solution

The fourth proportional to 23,414.96, 35,124.06 and 7,830.56 is: 11,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.96 : 35,124.06 = 7,830.56 : x
  2. Step 2: Convert to fraction form
    23,414.96/35,124.06 = 7,830.56/x
  3. Step 3: Cross multiply
    23,414.96x = 35,124.06 × 7,830.56
  4. Step 4: Simplify right side
    23,414.96x = 275,041,059.27
  5. Step 5: Solve for x
    x = 275,041,059.27/23,414.96
  6. Step 6: Final answer
    x = 11,746.38

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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.