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Finding the Fourth Proportional to 13,365.84, 20,048.80 and 4,600.64

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Solution

The fourth proportional to 13,365.84, 20,048.80 and 4,600.64 is: 6,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.84 : 20,048.80 = 4,600.64 : x
  2. Step 2: Convert to fraction form
    13,365.84/20,048.80 = 4,600.64/x
  3. Step 3: Cross multiply
    13,365.84x = 20,048.80 × 4,600.64
  4. Step 4: Simplify right side
    13,365.84x = 92,237,311.23
  5. Step 5: Solve for x
    x = 92,237,311.23/13,365.84
  6. Step 6: Final answer
    x = 6,900.97

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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.