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Finding the Fourth Proportional to 21,196.18, 31,792.43 and 8,048.65

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Solution

The fourth proportional to 21,196.18, 31,792.43 and 8,048.65 is: 12,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.18 : 31,792.43 = 8,048.65 : x
  2. Step 2: Convert to fraction form
    21,196.18/31,792.43 = 8,048.65/x
  3. Step 3: Cross multiply
    21,196.18x = 31,792.43 × 8,048.65
  4. Step 4: Simplify right side
    21,196.18x = 255,886,101.48
  5. Step 5: Solve for x
    x = 255,886,101.48/21,196.18
  6. Step 6: Final answer
    x = 12,072.27

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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.