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Finding the Fourth Proportional to 19,491, 29,221.90 and 6,335.52

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Solution

The fourth proportional to 19,491, 29,221.90 and 6,335.52 is: 9,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491 : 29,221.90 = 6,335.52 : x
  2. Step 2: Convert to fraction form
    19,491/29,221.90 = 6,335.52/x
  3. Step 3: Cross multiply
    19,491x = 29,221.90 × 6,335.52
  4. Step 4: Simplify right side
    19,491x = 185,135,931.89
  5. Step 5: Solve for x
    x = 185,135,931.89/19,491
  6. Step 6: Final answer
    x = 9,498.53

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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.