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Finding the Fourth Proportional to 21,514.92, 29,688.90 and 12,083.16

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Solution

The fourth proportional to 21,514.92, 29,688.90 and 12,083.16 is: 16,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.92 : 29,688.90 = 12,083.16 : x
  2. Step 2: Convert to fraction form
    21,514.92/29,688.90 = 12,083.16/x
  3. Step 3: Cross multiply
    21,514.92x = 29,688.90 × 12,083.16
  4. Step 4: Simplify right side
    21,514.92x = 358,735,728.92
  5. Step 5: Solve for x
    x = 358,735,728.92/21,514.92
  6. Step 6: Final answer
    x = 16,673.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.