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Finding the Fourth Proportional to 28,800.16, 43,200.20 and 8,023.66

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Solution

The fourth proportional to 28,800.16, 43,200.20 and 8,023.66 is: 12,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800.16 : 43,200.20 = 8,023.66 : x
  2. Step 2: Convert to fraction form
    28,800.16/43,200.20 = 8,023.66/x
  3. Step 3: Cross multiply
    28,800.16x = 43,200.20 × 8,023.66
  4. Step 4: Simplify right side
    28,800.16x = 346,623,628.79
  5. Step 5: Solve for x
    x = 346,623,628.79/28,800.16
  6. Step 6: Final answer
    x = 12,035.48

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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.