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Finding the Fourth Proportional to 28,200.98, 42,299.35 and 8,210.63

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Solution

The fourth proportional to 28,200.98, 42,299.35 and 8,210.63 is: 12,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200.98 : 42,299.35 = 8,210.63 : x
  2. Step 2: Convert to fraction form
    28,200.98/42,299.35 = 8,210.63/x
  3. Step 3: Cross multiply
    28,200.98x = 42,299.35 × 8,210.63
  4. Step 4: Simplify right side
    28,200.98x = 347,304,121.12
  5. Step 5: Solve for x
    x = 347,304,121.12/28,200.98
  6. Step 6: Final answer
    x = 12,315.32

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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.