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Finding the Fourth Proportional to 14,094.81, 19,451.48 and 7,807.19

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Solution

The fourth proportional to 14,094.81, 19,451.48 and 7,807.19 is: 10,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.81 : 19,451.48 = 7,807.19 : x
  2. Step 2: Convert to fraction form
    14,094.81/19,451.48 = 7,807.19/x
  3. Step 3: Cross multiply
    14,094.81x = 19,451.48 × 7,807.19
  4. Step 4: Simplify right side
    14,094.81x = 151,861,371.03
  5. Step 5: Solve for x
    x = 151,861,371.03/14,094.81
  6. Step 6: Final answer
    x = 10,774.27

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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.