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Finding the Fourth Proportional to 19,681.36, 29,511.20 and 13,448.41

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Solution

The fourth proportional to 19,681.36, 29,511.20 and 13,448.41 is: 20,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.36 : 29,511.20 = 13,448.41 : x
  2. Step 2: Convert to fraction form
    19,681.36/29,511.20 = 13,448.41/x
  3. Step 3: Cross multiply
    19,681.36x = 29,511.20 × 13,448.41
  4. Step 4: Simplify right side
    19,681.36x = 396,878,717.19
  5. Step 5: Solve for x
    x = 396,878,717.19/19,681.36
  6. Step 6: Final answer
    x = 20,165.21

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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.