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Finding the Fourth Proportional to 28,627.80, 42,927.84 and 12,837.48

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Solution

The fourth proportional to 28,627.80, 42,927.84 and 12,837.48 is: 19,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,627.80 : 42,927.84 = 12,837.48 : x
  2. Step 2: Convert to fraction form
    28,627.80/42,927.84 = 12,837.48/x
  3. Step 3: Cross multiply
    28,627.80x = 42,927.84 × 12,837.48
  4. Step 4: Simplify right side
    28,627.80x = 551,085,287.44
  5. Step 5: Solve for x
    x = 551,085,287.44/28,627.80
  6. Step 6: Final answer
    x = 19,250.00

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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.