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Finding the Fourth Proportional to 19,781.90, 29,676.90 and 6,643.70

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Solution

The fourth proportional to 19,781.90, 29,676.90 and 6,643.70 is: 9,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.90 : 29,676.90 = 6,643.70 : x
  2. Step 2: Convert to fraction form
    19,781.90/29,676.90 = 6,643.70/x
  3. Step 3: Cross multiply
    19,781.90x = 29,676.90 × 6,643.70
  4. Step 4: Simplify right side
    19,781.90x = 197,164,420.53
  5. Step 5: Solve for x
    x = 197,164,420.53/19,781.90
  6. Step 6: Final answer
    x = 9,966.91

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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.