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Finding the Fourth Proportional to 23,184.82, 31,995.12 and 12,574.54

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Solution

The fourth proportional to 23,184.82, 31,995.12 and 12,574.54 is: 17,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.82 : 31,995.12 = 12,574.54 : x
  2. Step 2: Convert to fraction form
    23,184.82/31,995.12 = 12,574.54/x
  3. Step 3: Cross multiply
    23,184.82x = 31,995.12 × 12,574.54
  4. Step 4: Simplify right side
    23,184.82x = 402,323,916.24
  5. Step 5: Solve for x
    x = 402,323,916.24/23,184.82
  6. Step 6: Final answer
    x = 17,352.90

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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.