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Finding the Fourth Proportional to 23,155.64, 31,954.74 and 12,545.31

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Solution

The fourth proportional to 23,155.64, 31,954.74 and 12,545.31 is: 17,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,155.64 : 31,954.74 = 12,545.31 : x
  2. Step 2: Convert to fraction form
    23,155.64/31,954.74 = 12,545.31/x
  3. Step 3: Cross multiply
    23,155.64x = 31,954.74 × 12,545.31
  4. Step 4: Simplify right side
    23,155.64x = 400,882,119.27
  5. Step 5: Solve for x
    x = 400,882,119.27/23,155.64
  6. Step 6: Final answer
    x = 17,312.51

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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.