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Finding the Fourth Proportional to 10,296.34, 14,268.74 and 10,099.42

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Solution

The fourth proportional to 10,296.34, 14,268.74 and 10,099.42 is: 13,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.34 : 14,268.74 = 10,099.42 : x
  2. Step 2: Convert to fraction form
    10,296.34/14,268.74 = 10,099.42/x
  3. Step 3: Cross multiply
    10,296.34x = 14,268.74 × 10,099.42
  4. Step 4: Simplify right side
    10,296.34x = 144,105,998.13
  5. Step 5: Solve for x
    x = 144,105,998.13/10,296.34
  6. Step 6: Final answer
    x = 13,995.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.