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Finding the Fourth Proportional to 12,588.24, 18,881.14 and 3,823.23

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Solution

The fourth proportional to 12,588.24, 18,881.14 and 3,823.23 is: 5,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.24 : 18,881.14 = 3,823.23 : x
  2. Step 2: Convert to fraction form
    12,588.24/18,881.14 = 3,823.23/x
  3. Step 3: Cross multiply
    12,588.24x = 18,881.14 × 3,823.23
  4. Step 4: Simplify right side
    12,588.24x = 72,186,940.88
  5. Step 5: Solve for x
    x = 72,186,940.88/12,588.24
  6. Step 6: Final answer
    x = 5,734.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.