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Finding the Fourth Proportional to 14,135.40, 19,504.72 and 7,847.80

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Solution

The fourth proportional to 14,135.40, 19,504.72 and 7,847.80 is: 10,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.40 : 19,504.72 = 7,847.80 : x
  2. Step 2: Convert to fraction form
    14,135.40/19,504.72 = 7,847.80/x
  3. Step 3: Cross multiply
    14,135.40x = 19,504.72 × 7,847.80
  4. Step 4: Simplify right side
    14,135.40x = 153,069,141.62
  5. Step 5: Solve for x
    x = 153,069,141.62/14,135.40
  6. Step 6: Final answer
    x = 10,828.78

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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.