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Finding the Fourth Proportional to 12,216.86, 16,869.63 and 7,748.56

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Solution

The fourth proportional to 12,216.86, 16,869.63 and 7,748.56 is: 10,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.86 : 16,869.63 = 7,748.56 : x
  2. Step 2: Convert to fraction form
    12,216.86/16,869.63 = 7,748.56/x
  3. Step 3: Cross multiply
    12,216.86x = 16,869.63 × 7,748.56
  4. Step 4: Simplify right side
    12,216.86x = 130,715,390.38
  5. Step 5: Solve for x
    x = 130,715,390.38/12,216.86
  6. Step 6: Final answer
    x = 10,699.59

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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.