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Finding the Fourth Proportional to 25,415.31, 38,105.94 and 9,814.71

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Solution

The fourth proportional to 25,415.31, 38,105.94 and 9,814.71 is: 14,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,415.31 : 38,105.94 = 9,814.71 : x
  2. Step 2: Convert to fraction form
    25,415.31/38,105.94 = 9,814.71/x
  3. Step 3: Cross multiply
    25,415.31x = 38,105.94 × 9,814.71
  4. Step 4: Simplify right side
    25,415.31x = 373,998,750.38
  5. Step 5: Solve for x
    x = 373,998,750.38/25,415.31
  6. Step 6: Final answer
    x = 14,715.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.