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Finding the Fourth Proportional to 22,312.76, 33,465.56 and 6,514.09

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Solution

The fourth proportional to 22,312.76, 33,465.56 and 6,514.09 is: 9,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.76 : 33,465.56 = 6,514.09 : x
  2. Step 2: Convert to fraction form
    22,312.76/33,465.56 = 6,514.09/x
  3. Step 3: Cross multiply
    22,312.76x = 33,465.56 × 6,514.09
  4. Step 4: Simplify right side
    22,312.76x = 217,997,553.51
  5. Step 5: Solve for x
    x = 217,997,553.51/22,312.76
  6. Step 6: Final answer
    x = 9,770.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.