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Finding the Fourth Proportional to 10,505.38, 14,394.57 and 10,349.86

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Solution

The fourth proportional to 10,505.38, 14,394.57 and 10,349.86 is: 14,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.38 : 14,394.57 = 10,349.86 : x
  2. Step 2: Convert to fraction form
    10,505.38/14,394.57 = 10,349.86/x
  3. Step 3: Cross multiply
    10,505.38x = 14,394.57 × 10,349.86
  4. Step 4: Simplify right side
    10,505.38x = 148,981,732.51
  5. Step 5: Solve for x
    x = 148,981,732.51/10,505.38
  6. Step 6: Final answer
    x = 14,181.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.