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Finding the Fourth Proportional to 13,533.66, 20,293.20 and 5,215.77

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Solution

The fourth proportional to 13,533.66, 20,293.20 and 5,215.77 is: 7,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.66 : 20,293.20 = 5,215.77 : x
  2. Step 2: Convert to fraction form
    13,533.66/20,293.20 = 5,215.77/x
  3. Step 3: Cross multiply
    13,533.66x = 20,293.20 × 5,215.77
  4. Step 4: Simplify right side
    13,533.66x = 105,844,663.76
  5. Step 5: Solve for x
    x = 105,844,663.76/13,533.66
  6. Step 6: Final answer
    x = 7,820.85

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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.