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Finding the Fourth Proportional to 19,584.45, 29,369.69 and 7,101.24

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Solution

The fourth proportional to 19,584.45, 29,369.69 and 7,101.24 is: 10,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584.45 : 29,369.69 = 7,101.24 : x
  2. Step 2: Convert to fraction form
    19,584.45/29,369.69 = 7,101.24/x
  3. Step 3: Cross multiply
    19,584.45x = 29,369.69 × 7,101.24
  4. Step 4: Simplify right side
    19,584.45x = 208,561,098.40
  5. Step 5: Solve for x
    x = 208,561,098.40/19,584.45
  6. Step 6: Final answer
    x = 10,649.32

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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.