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Finding the Fourth Proportional to 19,534.69, 29,302.05 and 5,496.21

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Solution

The fourth proportional to 19,534.69, 29,302.05 and 5,496.21 is: 8,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.69 : 29,302.05 = 5,496.21 : x
  2. Step 2: Convert to fraction form
    19,534.69/29,302.05 = 5,496.21/x
  3. Step 3: Cross multiply
    19,534.69x = 29,302.05 × 5,496.21
  4. Step 4: Simplify right side
    19,534.69x = 161,050,192.75
  5. Step 5: Solve for x
    x = 161,050,192.75/19,534.69
  6. Step 6: Final answer
    x = 8,244.32

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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.