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Finding the Fourth Proportional to 14,097.80, 19,454.21 and 7,723.20

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Solution

The fourth proportional to 14,097.80, 19,454.21 and 7,723.20 is: 10,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.80 : 19,454.21 = 7,723.20 : x
  2. Step 2: Convert to fraction form
    14,097.80/19,454.21 = 7,723.20/x
  3. Step 3: Cross multiply
    14,097.80x = 19,454.21 × 7,723.20
  4. Step 4: Simplify right side
    14,097.80x = 150,248,716.06
  5. Step 5: Solve for x
    x = 150,248,716.06/14,097.80
  6. Step 6: Final answer
    x = 10,657.60

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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.