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Finding the Fourth Proportional to 15,709.13, 21,678.62 and 8,635.40

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Solution

The fourth proportional to 15,709.13, 21,678.62 and 8,635.40 is: 11,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.13 : 21,678.62 = 8,635.40 : x
  2. Step 2: Convert to fraction form
    15,709.13/21,678.62 = 8,635.40/x
  3. Step 3: Cross multiply
    15,709.13x = 21,678.62 × 8,635.40
  4. Step 4: Simplify right side
    15,709.13x = 187,203,403.58
  5. Step 5: Solve for x
    x = 187,203,403.58/15,709.13
  6. Step 6: Final answer
    x = 11,916.86

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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.