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Finding the Fourth Proportional to 14,019.06, 19,346.31 and 7,731.44

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Solution

The fourth proportional to 14,019.06, 19,346.31 and 7,731.44 is: 10,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.06 : 19,346.31 = 7,731.44 : x
  2. Step 2: Convert to fraction form
    14,019.06/19,346.31 = 7,731.44/x
  3. Step 3: Cross multiply
    14,019.06x = 19,346.31 × 7,731.44
  4. Step 4: Simplify right side
    14,019.06x = 149,574,834.99
  5. Step 5: Solve for x
    x = 149,574,834.99/14,019.06
  6. Step 6: Final answer
    x = 10,669.39

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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.