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Finding the Fourth Proportional to 24,605.98, 36,914.81 and 7,966.01

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Solution

The fourth proportional to 24,605.98, 36,914.81 and 7,966.01 is: 11,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.98 : 36,914.81 = 7,966.01 : x
  2. Step 2: Convert to fraction form
    24,605.98/36,914.81 = 7,966.01/x
  3. Step 3: Cross multiply
    24,605.98x = 36,914.81 × 7,966.01
  4. Step 4: Simplify right side
    24,605.98x = 294,063,705.78
  5. Step 5: Solve for x
    x = 294,063,705.78/24,605.98
  6. Step 6: Final answer
    x = 11,950.91

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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.