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Finding the Fourth Proportional to 23,807.50, 35,712.90 and 9,956.50

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Solution

The fourth proportional to 23,807.50, 35,712.90 and 9,956.50 is: 14,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.50 : 35,712.90 = 9,956.50 : x
  2. Step 2: Convert to fraction form
    23,807.50/35,712.90 = 9,956.50/x
  3. Step 3: Cross multiply
    23,807.50x = 35,712.90 × 9,956.50
  4. Step 4: Simplify right side
    23,807.50x = 355,575,488.85
  5. Step 5: Solve for x
    x = 355,575,488.85/23,807.50
  6. Step 6: Final answer
    x = 14,935.44

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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.