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Finding the Fourth Proportional to 22,457.70, 30,984.72 and 13,024.44

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Solution

The fourth proportional to 22,457.70, 30,984.72 and 13,024.44 is: 17,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.70 : 30,984.72 = 13,024.44 : x
  2. Step 2: Convert to fraction form
    22,457.70/30,984.72 = 13,024.44/x
  3. Step 3: Cross multiply
    22,457.70x = 30,984.72 × 13,024.44
  4. Step 4: Simplify right side
    22,457.70x = 403,558,626.56
  5. Step 5: Solve for x
    x = 403,558,626.56/22,457.70
  6. Step 6: Final answer
    x = 17,969.72

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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.