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Finding the Fourth Proportional to 19,983.84, 29,979 and 7,505.52

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Solution

The fourth proportional to 19,983.84, 29,979 and 7,505.52 is: 11,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.84 : 29,979 = 7,505.52 : x
  2. Step 2: Convert to fraction form
    19,983.84/29,979 = 7,505.52/x
  3. Step 3: Cross multiply
    19,983.84x = 29,979 × 7,505.52
  4. Step 4: Simplify right side
    19,983.84x = 225,007,984.08
  5. Step 5: Solve for x
    x = 225,007,984.08/19,983.84
  6. Step 6: Final answer
    x = 11,259.50

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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.