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Finding the Fourth Proportional to 19,434, 29,151 and 5,584.08

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Solution

The fourth proportional to 19,434, 29,151 and 5,584.08 is: 8,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,434 : 29,151 = 5,584.08 : x
  2. Step 2: Convert to fraction form
    19,434/29,151 = 5,584.08/x
  3. Step 3: Cross multiply
    19,434x = 29,151 × 5,584.08
  4. Step 4: Simplify right side
    19,434x = 162,781,516.08
  5. Step 5: Solve for x
    x = 162,781,516.08/19,434
  6. Step 6: Final answer
    x = 8,376.12

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Why These Related Problems?

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