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Finding the Fourth Proportional to 20,578.48, 30,875.12 and 8,091.58

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Solution

The fourth proportional to 20,578.48, 30,875.12 and 8,091.58 is: 12,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.48 : 30,875.12 = 8,091.58 : x
  2. Step 2: Convert to fraction form
    20,578.48/30,875.12 = 8,091.58/x
  3. Step 3: Cross multiply
    20,578.48x = 30,875.12 × 8,091.58
  4. Step 4: Simplify right side
    20,578.48x = 249,828,503.49
  5. Step 5: Solve for x
    x = 249,828,503.49/20,578.48
  6. Step 6: Final answer
    x = 12,140.28

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