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Finding the Fourth Proportional to 13,133.64, 19,700.46 and 3,900.36

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Solution

The fourth proportional to 13,133.64, 19,700.46 and 3,900.36 is: 5,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.64 : 19,700.46 = 3,900.36 : x
  2. Step 2: Convert to fraction form
    13,133.64/19,700.46 = 3,900.36/x
  3. Step 3: Cross multiply
    13,133.64x = 19,700.46 × 3,900.36
  4. Step 4: Simplify right side
    13,133.64x = 76,838,886.17
  5. Step 5: Solve for x
    x = 76,838,886.17/13,133.64
  6. Step 6: Final answer
    x = 5,850.54

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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.