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Finding the Fourth Proportional to 13,896.53, 19,179.93 and 10,865.66

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Solution

The fourth proportional to 13,896.53, 19,179.93 and 10,865.66 is: 14,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.53 : 19,179.93 = 10,865.66 : x
  2. Step 2: Convert to fraction form
    13,896.53/19,179.93 = 10,865.66/x
  3. Step 3: Cross multiply
    13,896.53x = 19,179.93 × 10,865.66
  4. Step 4: Simplify right side
    13,896.53x = 208,402,620.38
  5. Step 5: Solve for x
    x = 208,402,620.38/13,896.53
  6. Step 6: Final answer
    x = 14,996.74

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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.