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Finding the Fourth Proportional to 23,364.12, 35,046 and 5,833.83

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Solution

The fourth proportional to 23,364.12, 35,046 and 5,833.83 is: 8,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,364.12 : 35,046 = 5,833.83 : x
  2. Step 2: Convert to fraction form
    23,364.12/35,046 = 5,833.83/x
  3. Step 3: Cross multiply
    23,364.12x = 35,046 × 5,833.83
  4. Step 4: Simplify right side
    23,364.12x = 204,452,406.18
  5. Step 5: Solve for x
    x = 204,452,406.18/23,364.12
  6. Step 6: Final answer
    x = 8,750.70

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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.