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Finding the Fourth Proportional to 28,242.32, 42,383.46 and 11,617.52

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Solution

The fourth proportional to 28,242.32, 42,383.46 and 11,617.52 is: 17,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242.32 : 42,383.46 = 11,617.52 : x
  2. Step 2: Convert to fraction form
    28,242.32/42,383.46 = 11,617.52/x
  3. Step 3: Cross multiply
    28,242.32x = 42,383.46 × 11,617.52
  4. Step 4: Simplify right side
    28,242.32x = 492,390,694.22
  5. Step 5: Solve for x
    x = 492,390,694.22/28,242.32
  6. Step 6: Final answer
    x = 17,434.50

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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.