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Finding the Fourth Proportional to 23,409.92, 35,114.92 and 7,827.56

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Solution

The fourth proportional to 23,409.92, 35,114.92 and 7,827.56 is: 11,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.92 : 35,114.92 = 7,827.56 : x
  2. Step 2: Convert to fraction form
    23,409.92/35,114.92 = 7,827.56/x
  3. Step 3: Cross multiply
    23,409.92x = 35,114.92 × 7,827.56
  4. Step 4: Simplify right side
    23,409.92x = 274,864,143.20
  5. Step 5: Solve for x
    x = 274,864,143.20/23,409.92
  6. Step 6: Final answer
    x = 11,741.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.