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Finding the Fourth Proportional to 19,784.20, 29,671.50 and 6,633.16

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Solution

The fourth proportional to 19,784.20, 29,671.50 and 6,633.16 is: 9,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.20 : 29,671.50 = 6,633.16 : x
  2. Step 2: Convert to fraction form
    19,784.20/29,671.50 = 6,633.16/x
  3. Step 3: Cross multiply
    19,784.20x = 29,671.50 × 6,633.16
  4. Step 4: Simplify right side
    19,784.20x = 196,815,806.94
  5. Step 5: Solve for x
    x = 196,815,806.94/19,784.20
  6. Step 6: Final answer
    x = 9,948.13

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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.