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Finding the Fourth Proportional to 14,094.80, 19,450.84 and 7,807.20

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Solution

The fourth proportional to 14,094.80, 19,450.84 and 7,807.20 is: 10,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.80 : 19,450.84 = 7,807.20 : x
  2. Step 2: Convert to fraction form
    14,094.80/19,450.84 = 7,807.20/x
  3. Step 3: Cross multiply
    14,094.80x = 19,450.84 × 7,807.20
  4. Step 4: Simplify right side
    14,094.80x = 151,856,598.05
  5. Step 5: Solve for x
    x = 151,856,598.05/14,094.80
  6. Step 6: Final answer
    x = 10,773.94

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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.