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Finding the Fourth Proportional to 20,585.46, 28,418.54 and 13,039.68

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Solution

The fourth proportional to 20,585.46, 28,418.54 and 13,039.68 is: 18,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.46 : 28,418.54 = 13,039.68 : x
  2. Step 2: Convert to fraction form
    20,585.46/28,418.54 = 13,039.68/x
  3. Step 3: Cross multiply
    20,585.46x = 28,418.54 × 13,039.68
  4. Step 4: Simplify right side
    20,585.46x = 370,568,602.47
  5. Step 5: Solve for x
    x = 370,568,602.47/20,585.46
  6. Step 6: Final answer
    x = 18,001.47

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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.