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Finding the Fourth Proportional to 14,097.69, 19,454.73 and 7,810.05

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Solution

The fourth proportional to 14,097.69, 19,454.73 and 7,810.05 is: 10,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.69 : 19,454.73 = 7,810.05 : x
  2. Step 2: Convert to fraction form
    14,097.69/19,454.73 = 7,810.05/x
  3. Step 3: Cross multiply
    14,097.69x = 19,454.73 × 7,810.05
  4. Step 4: Simplify right side
    14,097.69x = 151,942,414.04
  5. Step 5: Solve for x
    x = 151,942,414.04/14,097.69
  6. Step 6: Final answer
    x = 10,777.82

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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.