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Finding the Fourth Proportional to 21,359.44, 29,477.34 and 11,928

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Solution

The fourth proportional to 21,359.44, 29,477.34 and 11,928 is: 16,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,359.44 : 29,477.34 = 11,928 : x
  2. Step 2: Convert to fraction form
    21,359.44/29,477.34 = 11,928/x
  3. Step 3: Cross multiply
    21,359.44x = 29,477.34 × 11,928
  4. Step 4: Simplify right side
    21,359.44x = 351,605,711.52
  5. Step 5: Solve for x
    x = 351,605,711.52/21,359.44
  6. Step 6: Final answer
    x = 16,461.37

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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.