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Finding the Fourth Proportional to 19,673.82, 29,514 and 7,827.72

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Solution

The fourth proportional to 19,673.82, 29,514 and 7,827.72 is: 11,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.82 : 29,514 = 7,827.72 : x
  2. Step 2: Convert to fraction form
    19,673.82/29,514 = 7,827.72/x
  3. Step 3: Cross multiply
    19,673.82x = 29,514 × 7,827.72
  4. Step 4: Simplify right side
    19,673.82x = 231,027,328.08
  5. Step 5: Solve for x
    x = 231,027,328.08/19,673.82
  6. Step 6: Final answer
    x = 11,742.88

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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.