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Finding the Fourth Proportional to 13,927.86, 19,219.38 and 7,640.22

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Solution

The fourth proportional to 13,927.86, 19,219.38 and 7,640.22 is: 10,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.86 : 19,219.38 = 7,640.22 : x
  2. Step 2: Convert to fraction form
    13,927.86/19,219.38 = 7,640.22/x
  3. Step 3: Cross multiply
    13,927.86x = 19,219.38 × 7,640.22
  4. Step 4: Simplify right side
    13,927.86x = 146,840,291.46
  5. Step 5: Solve for x
    x = 146,840,291.46/13,927.86
  6. Step 6: Final answer
    x = 10,542.92

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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.