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Finding the Fourth Proportional to 20,802.29, 28,708.29 and 12,309.44

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Solution

The fourth proportional to 20,802.29, 28,708.29 and 12,309.44 is: 16,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.29 : 28,708.29 = 12,309.44 : x
  2. Step 2: Convert to fraction form
    20,802.29/28,708.29 = 12,309.44/x
  3. Step 3: Cross multiply
    20,802.29x = 28,708.29 × 12,309.44
  4. Step 4: Simplify right side
    20,802.29x = 353,382,829.72
  5. Step 5: Solve for x
    x = 353,382,829.72/20,802.29
  6. Step 6: Final answer
    x = 16,987.69

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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.