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Finding the Fourth Proportional to 14,035.42, 19,368.84 and 7,747.75

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Solution

The fourth proportional to 14,035.42, 19,368.84 and 7,747.75 is: 10,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.42 : 19,368.84 = 7,747.75 : x
  2. Step 2: Convert to fraction form
    14,035.42/19,368.84 = 7,747.75/x
  3. Step 3: Cross multiply
    14,035.42x = 19,368.84 × 7,747.75
  4. Step 4: Simplify right side
    14,035.42x = 150,064,930.11
  5. Step 5: Solve for x
    x = 150,064,930.11/14,035.42
  6. Step 6: Final answer
    x = 10,691.87

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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.