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Finding the Fourth Proportional to 22,815.72, 31,485.74 and 12,744.14

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Solution

The fourth proportional to 22,815.72, 31,485.74 and 12,744.14 is: 17,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,815.72 : 31,485.74 = 12,744.14 : x
  2. Step 2: Convert to fraction form
    22,815.72/31,485.74 = 12,744.14/x
  3. Step 3: Cross multiply
    22,815.72x = 31,485.74 × 12,744.14
  4. Step 4: Simplify right side
    22,815.72x = 401,258,457.41
  5. Step 5: Solve for x
    x = 401,258,457.41/22,815.72
  6. Step 6: Final answer
    x = 17,586.93

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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.