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Finding the Fourth Proportional to 21,516.78, 29,695.94 and 12,085.34

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Solution

The fourth proportional to 21,516.78, 29,695.94 and 12,085.34 is: 16,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.78 : 29,695.94 = 12,085.34 : x
  2. Step 2: Convert to fraction form
    21,516.78/29,695.94 = 12,085.34/x
  3. Step 3: Cross multiply
    21,516.78x = 29,695.94 × 12,085.34
  4. Step 4: Simplify right side
    21,516.78x = 358,885,531.52
  5. Step 5: Solve for x
    x = 358,885,531.52/21,516.78
  6. Step 6: Final answer
    x = 16,679.33

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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.