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Finding the Fourth Proportional to 13,473.36, 18,594.24 and 7,809.84

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Solution

The fourth proportional to 13,473.36, 18,594.24 and 7,809.84 is: 10,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.36 : 18,594.24 = 7,809.84 : x
  2. Step 2: Convert to fraction form
    13,473.36/18,594.24 = 7,809.84/x
  3. Step 3: Cross multiply
    13,473.36x = 18,594.24 × 7,809.84
  4. Step 4: Simplify right side
    13,473.36x = 145,218,039.32
  5. Step 5: Solve for x
    x = 145,218,039.32/13,473.36
  6. Step 6: Final answer
    x = 10,778.16

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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.