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Finding the Fourth Proportional to 13,700.82, 20,533.23 and 7,463.46

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Solution

The fourth proportional to 13,700.82, 20,533.23 and 7,463.46 is: 11,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.82 : 20,533.23 = 7,463.46 : x
  2. Step 2: Convert to fraction form
    13,700.82/20,533.23 = 7,463.46/x
  3. Step 3: Cross multiply
    13,700.82x = 20,533.23 × 7,463.46
  4. Step 4: Simplify right side
    13,700.82x = 153,248,940.78
  5. Step 5: Solve for x
    x = 153,248,940.78/13,700.82
  6. Step 6: Final answer
    x = 11,185.38

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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.