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Finding the Fourth Proportional to 13,927.41, 19,219.71 and 7,553.94

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Solution

The fourth proportional to 13,927.41, 19,219.71 and 7,553.94 is: 10,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.41 : 19,219.71 = 7,553.94 : x
  2. Step 2: Convert to fraction form
    13,927.41/19,219.71 = 7,553.94/x
  3. Step 3: Cross multiply
    13,927.41x = 19,219.71 × 7,553.94
  4. Step 4: Simplify right side
    13,927.41x = 145,184,600.52
  5. Step 5: Solve for x
    x = 145,184,600.52/13,927.41
  6. Step 6: Final answer
    x = 10,424.38

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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.