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Finding the Fourth Proportional to 17,772, 24,525.18 and 9,814.04

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Solution

The fourth proportional to 17,772, 24,525.18 and 9,814.04 is: 13,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772 : 24,525.18 = 9,814.04 : x
  2. Step 2: Convert to fraction form
    17,772/24,525.18 = 9,814.04/x
  3. Step 3: Cross multiply
    17,772x = 24,525.18 × 9,814.04
  4. Step 4: Simplify right side
    17,772x = 240,691,097.53
  5. Step 5: Solve for x
    x = 240,691,097.53/17,772
  6. Step 6: Final answer
    x = 13,543.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.