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Finding the Fourth Proportional to 13,146.50, 19,713.80 and 3,784.38

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Solution

The fourth proportional to 13,146.50, 19,713.80 and 3,784.38 is: 5,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.50 : 19,713.80 = 3,784.38 : x
  2. Step 2: Convert to fraction form
    13,146.50/19,713.80 = 3,784.38/x
  3. Step 3: Cross multiply
    13,146.50x = 19,713.80 × 3,784.38
  4. Step 4: Simplify right side
    13,146.50x = 74,604,510.44
  5. Step 5: Solve for x
    x = 74,604,510.44/13,146.50
  6. Step 6: Final answer
    x = 5,674.86

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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.