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Finding the Fourth Proportional to 15,709.01, 21,677.88 and 8,635.38

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Solution

The fourth proportional to 15,709.01, 21,677.88 and 8,635.38 is: 11,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.01 : 21,677.88 = 8,635.38 : x
  2. Step 2: Convert to fraction form
    15,709.01/21,677.88 = 8,635.38/x
  3. Step 3: Cross multiply
    15,709.01x = 21,677.88 × 8,635.38
  4. Step 4: Simplify right side
    15,709.01x = 187,196,617.72
  5. Step 5: Solve for x
    x = 187,196,617.72/15,709.01
  6. Step 6: Final answer
    x = 11,916.52

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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.