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Finding the Fourth Proportional to 24,495.82, 36,751.93 and 9,708.96

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Solution

The fourth proportional to 24,495.82, 36,751.93 and 9,708.96 is: 14,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.82 : 36,751.93 = 9,708.96 : x
  2. Step 2: Convert to fraction form
    24,495.82/36,751.93 = 9,708.96/x
  3. Step 3: Cross multiply
    24,495.82x = 36,751.93 × 9,708.96
  4. Step 4: Simplify right side
    24,495.82x = 356,823,131.84
  5. Step 5: Solve for x
    x = 356,823,131.84/24,495.82
  6. Step 6: Final answer
    x = 14,566.70

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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.