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Finding the Fourth Proportional to 19,684.19, 29,493.42 and 13,830.32

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Solution

The fourth proportional to 19,684.19, 29,493.42 and 13,830.32 is: 20,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.19 : 29,493.42 = 13,830.32 : x
  2. Step 2: Convert to fraction form
    19,684.19/29,493.42 = 13,830.32/x
  3. Step 3: Cross multiply
    19,684.19x = 29,493.42 × 13,830.32
  4. Step 4: Simplify right side
    19,684.19x = 407,903,367.34
  5. Step 5: Solve for x
    x = 407,903,367.34/19,684.19
  6. Step 6: Final answer
    x = 20,722.39

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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.