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Finding the Fourth Proportional to 19,705.35, 29,494.00 and 10,798.24

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Solution

The fourth proportional to 19,705.35, 29,494.00 and 10,798.24 is: 16,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.35 : 29,494.00 = 10,798.24 : x
  2. Step 2: Convert to fraction form
    19,705.35/29,494.00 = 10,798.24/x
  3. Step 3: Cross multiply
    19,705.35x = 29,494.00 × 10,798.24
  4. Step 4: Simplify right side
    19,705.35x = 318,483,172.30
  5. Step 5: Solve for x
    x = 318,483,172.30/19,705.35
  6. Step 6: Final answer
    x = 16,162.27

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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.