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Finding the Fourth Proportional to 22,916.25, 31,624.47 and 12,980.25

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Solution

The fourth proportional to 22,916.25, 31,624.47 and 12,980.25 is: 17,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916.25 : 31,624.47 = 12,980.25 : x
  2. Step 2: Convert to fraction form
    22,916.25/31,624.47 = 12,980.25/x
  3. Step 3: Cross multiply
    22,916.25x = 31,624.47 × 12,980.25
  4. Step 4: Simplify right side
    22,916.25x = 410,493,526.72
  5. Step 5: Solve for x
    x = 410,493,526.72/22,916.25
  6. Step 6: Final answer
    x = 17,912.77

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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.