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Finding the Fourth Proportional to 20,578.14, 30,866.60 and 8,089.16

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Solution

The fourth proportional to 20,578.14, 30,866.60 and 8,089.16 is: 12,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.14 : 30,866.60 = 8,089.16 : x
  2. Step 2: Convert to fraction form
    20,578.14/30,866.60 = 8,089.16/x
  3. Step 3: Cross multiply
    20,578.14x = 30,866.60 × 8,089.16
  4. Step 4: Simplify right side
    20,578.14x = 249,684,671.28
  5. Step 5: Solve for x
    x = 249,684,671.28/20,578.14
  6. Step 6: Final answer
    x = 12,133.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.