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Finding the Fourth Proportional to 13,533.84, 20,298.20 and 3,670.65

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Solution

The fourth proportional to 13,533.84, 20,298.20 and 3,670.65 is: 5,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.84 : 20,298.20 = 3,670.65 : x
  2. Step 2: Convert to fraction form
    13,533.84/20,298.20 = 3,670.65/x
  3. Step 3: Cross multiply
    13,533.84x = 20,298.20 × 3,670.65
  4. Step 4: Simplify right side
    13,533.84x = 74,507,569.48
  5. Step 5: Solve for x
    x = 74,507,569.48/13,533.84
  6. Step 6: Final answer
    x = 5,505.28

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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.