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Finding the Fourth Proportional to 28,131.64, 42,203.52 and 8,411.80

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Solution

The fourth proportional to 28,131.64, 42,203.52 and 8,411.80 is: 12,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,131.64 : 42,203.52 = 8,411.80 : x
  2. Step 2: Convert to fraction form
    28,131.64/42,203.52 = 8,411.80/x
  3. Step 3: Cross multiply
    28,131.64x = 42,203.52 × 8,411.80
  4. Step 4: Simplify right side
    28,131.64x = 355,007,569.54
  5. Step 5: Solve for x
    x = 355,007,569.54/28,131.64
  6. Step 6: Final answer
    x = 12,619.51

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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.