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Finding the Fourth Proportional to 14,109, 19,470.42 and 7,821.80

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Solution

The fourth proportional to 14,109, 19,470.42 and 7,821.80 is: 10,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109 : 19,470.42 = 7,821.80 : x
  2. Step 2: Convert to fraction form
    14,109/19,470.42 = 7,821.80/x
  3. Step 3: Cross multiply
    14,109x = 19,470.42 × 7,821.80
  4. Step 4: Simplify right side
    14,109x = 152,293,731.16
  5. Step 5: Solve for x
    x = 152,293,731.16/14,109
  6. Step 6: Final answer
    x = 10,794.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.