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Finding the Fourth Proportional to 20,259.86, 27,951.17 and 12,706.51

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Solution

The fourth proportional to 20,259.86, 27,951.17 and 12,706.51 is: 17,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,259.86 : 27,951.17 = 12,706.51 : x
  2. Step 2: Convert to fraction form
    20,259.86/27,951.17 = 12,706.51/x
  3. Step 3: Cross multiply
    20,259.86x = 27,951.17 × 12,706.51
  4. Step 4: Simplify right side
    20,259.86x = 355,161,821.12
  5. Step 5: Solve for x
    x = 355,161,821.12/20,259.86
  6. Step 6: Final answer
    x = 17,530.32

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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.