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Finding the Fourth Proportional to 19,333.24, 29,000.03 and 7,646.46

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Solution

The fourth proportional to 19,333.24, 29,000.03 and 7,646.46 is: 11,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,333.24 : 29,000.03 = 7,646.46 : x
  2. Step 2: Convert to fraction form
    19,333.24/29,000.03 = 7,646.46/x
  3. Step 3: Cross multiply
    19,333.24x = 29,000.03 × 7,646.46
  4. Step 4: Simplify right side
    19,333.24x = 221,747,424.39
  5. Step 5: Solve for x
    x = 221,747,424.39/19,333.24
  6. Step 6: Final answer
    x = 11,469.75

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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.