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Finding the Fourth Proportional to 19,495, 29,227.90 and 6,339.52

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Solution

The fourth proportional to 19,495, 29,227.90 and 6,339.52 is: 9,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,495 : 29,227.90 = 6,339.52 : x
  2. Step 2: Convert to fraction form
    19,495/29,227.90 = 6,339.52/x
  3. Step 3: Cross multiply
    19,495x = 29,227.90 × 6,339.52
  4. Step 4: Simplify right side
    19,495x = 185,290,856.61
  5. Step 5: Solve for x
    x = 185,290,856.61/19,495
  6. Step 6: Final answer
    x = 9,504.53

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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.