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Finding the Fourth Proportional to 19,781.85, 29,673.08 and 6,454.79

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Solution

The fourth proportional to 19,781.85, 29,673.08 and 6,454.79 is: 9,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.85 : 29,673.08 = 6,454.79 : x
  2. Step 2: Convert to fraction form
    19,781.85/29,673.08 = 6,454.79/x
  3. Step 3: Cross multiply
    19,781.85x = 29,673.08 × 6,454.79
  4. Step 4: Simplify right side
    19,781.85x = 191,533,319.41
  5. Step 5: Solve for x
    x = 191,533,319.41/19,781.85
  6. Step 6: Final answer
    x = 9,682.28

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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.