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Finding the Fourth Proportional to 14,384.09, 19,849.82 and 8,010.51

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Solution

The fourth proportional to 14,384.09, 19,849.82 and 8,010.51 is: 11,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.09 : 19,849.82 = 8,010.51 : x
  2. Step 2: Convert to fraction form
    14,384.09/19,849.82 = 8,010.51/x
  3. Step 3: Cross multiply
    14,384.09x = 19,849.82 × 8,010.51
  4. Step 4: Simplify right side
    14,384.09x = 159,007,141.56
  5. Step 5: Solve for x
    x = 159,007,141.56/14,384.09
  6. Step 6: Final answer
    x = 11,054.38

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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.