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Finding the Fourth Proportional to 22,530, 31,090.06 and 12,457.65

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Solution

The fourth proportional to 22,530, 31,090.06 and 12,457.65 is: 17,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530 : 31,090.06 = 12,457.65 : x
  2. Step 2: Convert to fraction form
    22,530/31,090.06 = 12,457.65/x
  3. Step 3: Cross multiply
    22,530x = 31,090.06 × 12,457.65
  4. Step 4: Simplify right side
    22,530x = 387,309,085.96
  5. Step 5: Solve for x
    x = 387,309,085.96/22,530
  6. Step 6: Final answer
    x = 17,190.82

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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.