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Finding the Fourth Proportional to 13,895.91, 19,174.56 and 7,927.22

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Solution

The fourth proportional to 13,895.91, 19,174.56 and 7,927.22 is: 10,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,895.91 : 19,174.56 = 7,927.22 : x
  2. Step 2: Convert to fraction form
    13,895.91/19,174.56 = 7,927.22/x
  3. Step 3: Cross multiply
    13,895.91x = 19,174.56 × 7,927.22
  4. Step 4: Simplify right side
    13,895.91x = 152,000,859.65
  5. Step 5: Solve for x
    x = 152,000,859.65/13,895.91
  6. Step 6: Final answer
    x = 10,938.53

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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.