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Finding the Fourth Proportional to 22,595.69, 31,164.47 and 13,633.85

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Solution

The fourth proportional to 22,595.69, 31,164.47 and 13,633.85 is: 18,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,595.69 : 31,164.47 = 13,633.85 : x
  2. Step 2: Convert to fraction form
    22,595.69/31,164.47 = 13,633.85/x
  3. Step 3: Cross multiply
    22,595.69x = 31,164.47 × 13,633.85
  4. Step 4: Simplify right side
    22,595.69x = 424,891,709.31
  5. Step 5: Solve for x
    x = 424,891,709.31/22,595.69
  6. Step 6: Final answer
    x = 18,804.10

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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.