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Finding the Fourth Proportional to 22,595.69, 31,165.86 and 14,930.09

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Solution

The fourth proportional to 22,595.69, 31,165.86 and 14,930.09 is: 20,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,595.69 : 31,165.86 = 14,930.09 : x
  2. Step 2: Convert to fraction form
    22,595.69/31,165.86 = 14,930.09/x
  3. Step 3: Cross multiply
    22,595.69x = 31,165.86 × 14,930.09
  4. Step 4: Simplify right side
    22,595.69x = 465,309,053.32
  5. Step 5: Solve for x
    x = 465,309,053.32/22,595.69
  6. Step 6: Final answer
    x = 20,592.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.