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Finding the Fourth Proportional to 23,372.86, 35,038.41 and 10,214.81

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Solution

The fourth proportional to 23,372.86, 35,038.41 and 10,214.81 is: 15,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,372.86 : 35,038.41 = 10,214.81 : x
  2. Step 2: Convert to fraction form
    23,372.86/35,038.41 = 10,214.81/x
  3. Step 3: Cross multiply
    23,372.86x = 35,038.41 × 10,214.81
  4. Step 4: Simplify right side
    23,372.86x = 357,910,700.85
  5. Step 5: Solve for x
    x = 357,910,700.85/23,372.86
  6. Step 6: Final answer
    x = 15,313.09

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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.