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Finding the Fourth Proportional to 14,089.97, 19,450.44 and 9,312.80

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Solution

The fourth proportional to 14,089.97, 19,450.44 and 9,312.80 is: 12,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.97 : 19,450.44 = 9,312.80 : x
  2. Step 2: Convert to fraction form
    14,089.97/19,450.44 = 9,312.80/x
  3. Step 3: Cross multiply
    14,089.97x = 19,450.44 × 9,312.80
  4. Step 4: Simplify right side
    14,089.97x = 181,137,960.38
  5. Step 5: Solve for x
    x = 181,137,960.38/14,089.97
  6. Step 6: Final answer
    x = 12,855.81

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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.