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Finding the Fourth Proportional to 23,586.39, 35,373.92 and 6,941.90

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Solution

The fourth proportional to 23,586.39, 35,373.92 and 6,941.90 is: 10,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586.39 : 35,373.92 = 6,941.90 : x
  2. Step 2: Convert to fraction form
    23,586.39/35,373.92 = 6,941.90/x
  3. Step 3: Cross multiply
    23,586.39x = 35,373.92 × 6,941.90
  4. Step 4: Simplify right side
    23,586.39x = 245,562,268.97
  5. Step 5: Solve for x
    x = 245,562,268.97/23,586.39
  6. Step 6: Final answer
    x = 10,411.18

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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.