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Finding the Fourth Proportional to 28,204.88, 42,326.75 and 9,736.88

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Solution

The fourth proportional to 28,204.88, 42,326.75 and 9,736.88 is: 14,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204.88 : 42,326.75 = 9,736.88 : x
  2. Step 2: Convert to fraction form
    28,204.88/42,326.75 = 9,736.88/x
  3. Step 3: Cross multiply
    28,204.88x = 42,326.75 × 9,736.88
  4. Step 4: Simplify right side
    28,204.88x = 412,130,298.25
  5. Step 5: Solve for x
    x = 412,130,298.25/28,204.88
  6. Step 6: Final answer
    x = 14,612.02

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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.