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Finding the Fourth Proportional to 23,184.69, 31,959.99 and 18,140.15

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Solution

The fourth proportional to 23,184.69, 31,959.99 and 18,140.15 is: 25,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.69 : 31,959.99 = 18,140.15 : x
  2. Step 2: Convert to fraction form
    23,184.69/31,959.99 = 18,140.15/x
  3. Step 3: Cross multiply
    23,184.69x = 31,959.99 × 18,140.15
  4. Step 4: Simplify right side
    23,184.69x = 579,759,143.52
  5. Step 5: Solve for x
    x = 579,759,143.52/23,184.69
  6. Step 6: Final answer
    x = 25,006.12

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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.