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Finding the Fourth Proportional to 19,649.72, 29,480.02 and 6,511.32

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Solution

The fourth proportional to 19,649.72, 29,480.02 and 6,511.32 is: 9,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.72 : 29,480.02 = 6,511.32 : x
  2. Step 2: Convert to fraction form
    19,649.72/29,480.02 = 6,511.32/x
  3. Step 3: Cross multiply
    19,649.72x = 29,480.02 × 6,511.32
  4. Step 4: Simplify right side
    19,649.72x = 191,953,827.55
  5. Step 5: Solve for x
    x = 191,953,827.55/19,649.72
  6. Step 6: Final answer
    x = 9,768.78

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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.