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Finding the Fourth Proportional to 13,828.64, 19,084.44 and 7,860.32

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Solution

The fourth proportional to 13,828.64, 19,084.44 and 7,860.32 is: 10,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.64 : 19,084.44 = 7,860.32 : x
  2. Step 2: Convert to fraction form
    13,828.64/19,084.44 = 7,860.32/x
  3. Step 3: Cross multiply
    13,828.64x = 19,084.44 × 7,860.32
  4. Step 4: Simplify right side
    13,828.64x = 150,009,805.42
  5. Step 5: Solve for x
    x = 150,009,805.42/13,828.64
  6. Step 6: Final answer
    x = 10,847.76

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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.