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Finding the Fourth Proportional to 28,200.93, 42,294.49 and 12,409.94

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Solution

The fourth proportional to 28,200.93, 42,294.49 and 12,409.94 is: 18,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200.93 : 42,294.49 = 12,409.94 : x
  2. Step 2: Convert to fraction form
    28,200.93/42,294.49 = 12,409.94/x
  3. Step 3: Cross multiply
    28,200.93x = 42,294.49 × 12,409.94
  4. Step 4: Simplify right side
    28,200.93x = 524,872,157.94
  5. Step 5: Solve for x
    x = 524,872,157.94/28,200.93
  6. Step 6: Final answer
    x = 18,611.88

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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.