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Finding the Fourth Proportional to 19,532.66, 29,300.36 and 7,845.88

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Solution

The fourth proportional to 19,532.66, 29,300.36 and 7,845.88 is: 11,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.66 : 29,300.36 = 7,845.88 : x
  2. Step 2: Convert to fraction form
    19,532.66/29,300.36 = 7,845.88/x
  3. Step 3: Cross multiply
    19,532.66x = 29,300.36 × 7,845.88
  4. Step 4: Simplify right side
    19,532.66x = 229,887,108.52
  5. Step 5: Solve for x
    x = 229,887,108.52/19,532.66
  6. Step 6: Final answer
    x = 11,769.37

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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.