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Finding the Fourth Proportional to 14,032.38, 21,064.86 and 8,193.18

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Solution

The fourth proportional to 14,032.38, 21,064.86 and 8,193.18 is: 12,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.38 : 21,064.86 = 8,193.18 : x
  2. Step 2: Convert to fraction form
    14,032.38/21,064.86 = 8,193.18/x
  3. Step 3: Cross multiply
    14,032.38x = 21,064.86 × 8,193.18
  4. Step 4: Simplify right side
    14,032.38x = 172,588,189.65
  5. Step 5: Solve for x
    x = 172,588,189.65/14,032.38
  6. Step 6: Final answer
    x = 12,299.28

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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.