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Finding the Fourth Proportional to 20,784.21, 28,671.93 and 12,282.22

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Solution

The fourth proportional to 20,784.21, 28,671.93 and 12,282.22 is: 16,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.21 : 28,671.93 = 12,282.22 : x
  2. Step 2: Convert to fraction form
    20,784.21/28,671.93 = 12,282.22/x
  3. Step 3: Cross multiply
    20,784.21x = 28,671.93 × 12,282.22
  4. Step 4: Simplify right side
    20,784.21x = 352,154,880.40
  5. Step 5: Solve for x
    x = 352,154,880.40/20,784.21
  6. Step 6: Final answer
    x = 16,943.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.