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Finding the Fourth Proportional to 20,005.76, 30,021.90 and 8,318.96

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Solution

The fourth proportional to 20,005.76, 30,021.90 and 8,318.96 is: 12,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.76 : 30,021.90 = 8,318.96 : x
  2. Step 2: Convert to fraction form
    20,005.76/30,021.90 = 8,318.96/x
  3. Step 3: Cross multiply
    20,005.76x = 30,021.90 × 8,318.96
  4. Step 4: Simplify right side
    20,005.76x = 249,750,985.22
  5. Step 5: Solve for x
    x = 249,750,985.22/20,005.76
  6. Step 6: Final answer
    x = 12,483.95

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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.