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Finding the Fourth Proportional to 19,434, 29,151 and 5,583.12

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Solution

The fourth proportional to 19,434, 29,151 and 5,583.12 is: 8,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,434 : 29,151 = 5,583.12 : x
  2. Step 2: Convert to fraction form
    19,434/29,151 = 5,583.12/x
  3. Step 3: Cross multiply
    19,434x = 29,151 × 5,583.12
  4. Step 4: Simplify right side
    19,434x = 162,753,531.12
  5. Step 5: Solve for x
    x = 162,753,531.12/19,434
  6. Step 6: Final answer
    x = 8,374.68

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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.