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Finding the Fourth Proportional to 19,533.74, 29,294.54 and 7,052.14

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Solution

The fourth proportional to 19,533.74, 29,294.54 and 7,052.14 is: 10,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.74 : 29,294.54 = 7,052.14 : x
  2. Step 2: Convert to fraction form
    19,533.74/29,294.54 = 7,052.14/x
  3. Step 3: Cross multiply
    19,533.74x = 29,294.54 × 7,052.14
  4. Step 4: Simplify right side
    19,533.74x = 206,589,197.32
  5. Step 5: Solve for x
    x = 206,589,197.32/19,533.74
  6. Step 6: Final answer
    x = 10,576.02

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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.