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Finding the Fourth Proportional to 13,533.86, 20,300.83 and 6,129.67

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Solution

The fourth proportional to 13,533.86, 20,300.83 and 6,129.67 is: 9,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.86 : 20,300.83 = 6,129.67 : x
  2. Step 2: Convert to fraction form
    13,533.86/20,300.83 = 6,129.67/x
  3. Step 3: Cross multiply
    13,533.86x = 20,300.83 × 6,129.67
  4. Step 4: Simplify right side
    13,533.86x = 124,437,282.11
  5. Step 5: Solve for x
    x = 124,437,282.11/13,533.86
  6. Step 6: Final answer
    x = 9,194.52

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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.