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Finding the Fourth Proportional to 19,532.61, 29,300.27 and 7,845.82

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Solution

The fourth proportional to 19,532.61, 29,300.27 and 7,845.82 is: 11,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.61 : 29,300.27 = 7,845.82 : x
  2. Step 2: Convert to fraction form
    19,532.61/29,300.27 = 7,845.82/x
  3. Step 3: Cross multiply
    19,532.61x = 29,300.27 × 7,845.82
  4. Step 4: Simplify right side
    19,532.61x = 229,884,644.37
  5. Step 5: Solve for x
    x = 229,884,644.37/19,532.61
  6. Step 6: Final answer
    x = 11,769.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.