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Finding the Fourth Proportional to 22,457.46, 30,989.16 and 13,025

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Solution

The fourth proportional to 22,457.46, 30,989.16 and 13,025 is: 17,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.46 : 30,989.16 = 13,025 : x
  2. Step 2: Convert to fraction form
    22,457.46/30,989.16 = 13,025/x
  3. Step 3: Cross multiply
    22,457.46x = 30,989.16 × 13,025
  4. Step 4: Simplify right side
    22,457.46x = 403,633,809
  5. Step 5: Solve for x
    x = 403,633,809/22,457.46
  6. Step 6: Final answer
    x = 17,973.26

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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.