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Finding the Fourth Proportional to 12,816.42, 19,223.04 and 3,457.20

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Solution

The fourth proportional to 12,816.42, 19,223.04 and 3,457.20 is: 5,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.42 : 19,223.04 = 3,457.20 : x
  2. Step 2: Convert to fraction form
    12,816.42/19,223.04 = 3,457.20/x
  3. Step 3: Cross multiply
    12,816.42x = 19,223.04 × 3,457.20
  4. Step 4: Simplify right side
    12,816.42x = 66,457,893.89
  5. Step 5: Solve for x
    x = 66,457,893.89/12,816.42
  6. Step 6: Final answer
    x = 5,185.37

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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.