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Finding the Fourth Proportional to 14,051.60, 19,392.48 and 7,766

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Solution

The fourth proportional to 14,051.60, 19,392.48 and 7,766 is: 10,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.60 : 19,392.48 = 7,766 : x
  2. Step 2: Convert to fraction form
    14,051.60/19,392.48 = 7,766/x
  3. Step 3: Cross multiply
    14,051.60x = 19,392.48 × 7,766
  4. Step 4: Simplify right side
    14,051.60x = 150,601,999.68
  5. Step 5: Solve for x
    x = 150,601,999.68/14,051.60
  6. Step 6: Final answer
    x = 10,717.78

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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.