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Finding the Fourth Proportional to 28,563.54, 42,846.54 and 8,842.50

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Solution

The fourth proportional to 28,563.54, 42,846.54 and 8,842.50 is: 13,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,563.54 : 42,846.54 = 8,842.50 : x
  2. Step 2: Convert to fraction form
    28,563.54/42,846.54 = 8,842.50/x
  3. Step 3: Cross multiply
    28,563.54x = 42,846.54 × 8,842.50
  4. Step 4: Simplify right side
    28,563.54x = 378,870,529.95
  5. Step 5: Solve for x
    x = 378,870,529.95/28,563.54
  6. Step 6: Final answer
    x = 13,264.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.