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Finding the Fourth Proportional to 13,137.86, 19,715.04 and 5,346.68

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Solution

The fourth proportional to 13,137.86, 19,715.04 and 5,346.68 is: 8,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.86 : 19,715.04 = 5,346.68 : x
  2. Step 2: Convert to fraction form
    13,137.86/19,715.04 = 5,346.68/x
  3. Step 3: Cross multiply
    13,137.86x = 19,715.04 × 5,346.68
  4. Step 4: Simplify right side
    13,137.86x = 105,409,911.49
  5. Step 5: Solve for x
    x = 105,409,911.49/13,137.86
  6. Step 6: Final answer
    x = 8,023.37

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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.