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Finding the Fourth Proportional to 22,619.56, 31,215 and 12,683.56

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Solution

The fourth proportional to 22,619.56, 31,215 and 12,683.56 is: 17,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,619.56 : 31,215 = 12,683.56 : x
  2. Step 2: Convert to fraction form
    22,619.56/31,215 = 12,683.56/x
  3. Step 3: Cross multiply
    22,619.56x = 31,215 × 12,683.56
  4. Step 4: Simplify right side
    22,619.56x = 395,917,325.40
  5. Step 5: Solve for x
    x = 395,917,325.40/22,619.56
  6. Step 6: Final answer
    x = 17,503.32

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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.