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Finding the Fourth Proportional to 19,673.72, 29,513.84 and 7,827.60

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Solution

The fourth proportional to 19,673.72, 29,513.84 and 7,827.60 is: 11,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.72 : 29,513.84 = 7,827.60 : x
  2. Step 2: Convert to fraction form
    19,673.72/29,513.84 = 7,827.60/x
  3. Step 3: Cross multiply
    19,673.72x = 29,513.84 × 7,827.60
  4. Step 4: Simplify right side
    19,673.72x = 231,022,605.52
  5. Step 5: Solve for x
    x = 231,022,605.52/19,673.72
  6. Step 6: Final answer
    x = 11,742.70

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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.