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Finding the Fourth Proportional to 21,077.96, 29,083.38 and 12,695

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Solution

The fourth proportional to 21,077.96, 29,083.38 and 12,695 is: 17,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.96 : 29,083.38 = 12,695 : x
  2. Step 2: Convert to fraction form
    21,077.96/29,083.38 = 12,695/x
  3. Step 3: Cross multiply
    21,077.96x = 29,083.38 × 12,695
  4. Step 4: Simplify right side
    21,077.96x = 369,213,509.10
  5. Step 5: Solve for x
    x = 369,213,509.10/21,077.96
  6. Step 6: Final answer
    x = 17,516.57

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Why These Related Problems?

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