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Finding the Fourth Proportional to 11,715.14, 17,497.78 and 10,602.86

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Solution

The fourth proportional to 11,715.14, 17,497.78 and 10,602.86 is: 15,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.14 : 17,497.78 = 10,602.86 : x
  2. Step 2: Convert to fraction form
    11,715.14/17,497.78 = 10,602.86/x
  3. Step 3: Cross multiply
    11,715.14x = 17,497.78 × 10,602.86
  4. Step 4: Simplify right side
    11,715.14x = 185,526,511.65
  5. Step 5: Solve for x
    x = 185,526,511.65/11,715.14
  6. Step 6: Final answer
    x = 15,836.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.