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Finding the Fourth Proportional to 13,133.01, 19,683.10 and 5,227.41

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Solution

The fourth proportional to 13,133.01, 19,683.10 and 5,227.41 is: 7,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.01 : 19,683.10 = 5,227.41 : x
  2. Step 2: Convert to fraction form
    13,133.01/19,683.10 = 5,227.41/x
  3. Step 3: Cross multiply
    13,133.01x = 19,683.10 × 5,227.41
  4. Step 4: Simplify right side
    13,133.01x = 102,891,633.77
  5. Step 5: Solve for x
    x = 102,891,633.77/13,133.01
  6. Step 6: Final answer
    x = 7,834.58

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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.