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Finding the Fourth Proportional to 14,087.64, 19,441.56 and 7,800

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Solution

The fourth proportional to 14,087.64, 19,441.56 and 7,800 is: 10,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.64 : 19,441.56 = 7,800 : x
  2. Step 2: Convert to fraction form
    14,087.64/19,441.56 = 7,800/x
  3. Step 3: Cross multiply
    14,087.64x = 19,441.56 × 7,800
  4. Step 4: Simplify right side
    14,087.64x = 151,644,168
  5. Step 5: Solve for x
    x = 151,644,168/14,087.64
  6. Step 6: Final answer
    x = 10,764.34

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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.