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Finding the Fourth Proportional to 19,414.64, 29,127 and 5,564.72

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Solution

The fourth proportional to 19,414.64, 29,127 and 5,564.72 is: 8,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.64 : 29,127 = 5,564.72 : x
  2. Step 2: Convert to fraction form
    19,414.64/29,127 = 5,564.72/x
  3. Step 3: Cross multiply
    19,414.64x = 29,127 × 5,564.72
  4. Step 4: Simplify right side
    19,414.64x = 162,083,599.44
  5. Step 5: Solve for x
    x = 162,083,599.44/19,414.64
  6. Step 6: Final answer
    x = 8,348.52

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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.