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Finding the Fourth Proportional to 14,097.60, 19,454.40 and 7,809.84

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Solution

The fourth proportional to 14,097.60, 19,454.40 and 7,809.84 is: 10,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.60 : 19,454.40 = 7,809.84 : x
  2. Step 2: Convert to fraction form
    14,097.60/19,454.40 = 7,809.84/x
  3. Step 3: Cross multiply
    14,097.60x = 19,454.40 × 7,809.84
  4. Step 4: Simplify right side
    14,097.60x = 151,935,751.30
  5. Step 5: Solve for x
    x = 151,935,751.30/14,097.60
  6. Step 6: Final answer
    x = 10,777.42

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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.