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Finding the Fourth Proportional to 22,495.06, 33,739.98 and 7,702

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Solution

The fourth proportional to 22,495.06, 33,739.98 and 7,702 is: 11,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.06 : 33,739.98 = 7,702 : x
  2. Step 2: Convert to fraction form
    22,495.06/33,739.98 = 7,702/x
  3. Step 3: Cross multiply
    22,495.06x = 33,739.98 × 7,702
  4. Step 4: Simplify right side
    22,495.06x = 259,865,325.96
  5. Step 5: Solve for x
    x = 259,865,325.96/22,495.06
  6. Step 6: Final answer
    x = 11,552.11

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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.