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Finding the Fourth Proportional to 20,782.71, 28,689.93 and 12,829.59

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Solution

The fourth proportional to 20,782.71, 28,689.93 and 12,829.59 is: 17,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.71 : 28,689.93 = 12,829.59 : x
  2. Step 2: Convert to fraction form
    20,782.71/28,689.93 = 12,829.59/x
  3. Step 3: Cross multiply
    20,782.71x = 28,689.93 × 12,829.59
  4. Step 4: Simplify right side
    20,782.71x = 368,080,039.03
  5. Step 5: Solve for x
    x = 368,080,039.03/20,782.71
  6. Step 6: Final answer
    x = 17,710.88

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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.