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Finding the Fourth Proportional to 10,022.74, 13,816.94 and 7,029.30

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Solution

The fourth proportional to 10,022.74, 13,816.94 and 7,029.30 is: 9,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.74 : 13,816.94 = 7,029.30 : x
  2. Step 2: Convert to fraction form
    10,022.74/13,816.94 = 7,029.30/x
  3. Step 3: Cross multiply
    10,022.74x = 13,816.94 × 7,029.30
  4. Step 4: Simplify right side
    10,022.74x = 97,123,416.34
  5. Step 5: Solve for x
    x = 97,123,416.34/10,022.74
  6. Step 6: Final answer
    x = 9,690.31

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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.