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Finding the Fourth Proportional to 23,807, 35,712.15 and 9,956

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Solution

The fourth proportional to 23,807, 35,712.15 and 9,956 is: 14,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807 : 35,712.15 = 9,956 : x
  2. Step 2: Convert to fraction form
    23,807/35,712.15 = 9,956/x
  3. Step 3: Cross multiply
    23,807x = 35,712.15 × 9,956
  4. Step 4: Simplify right side
    23,807x = 355,550,165.40
  5. Step 5: Solve for x
    x = 355,550,165.40/23,807
  6. Step 6: Final answer
    x = 14,934.69

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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.