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Finding the Fourth Proportional to 15,906.40, 23,823.15 and 15,541.90

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Solution

The fourth proportional to 15,906.40, 23,823.15 and 15,541.90 is: 23,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.40 : 23,823.15 = 15,541.90 : x
  2. Step 2: Convert to fraction form
    15,906.40/23,823.15 = 15,541.90/x
  3. Step 3: Cross multiply
    15,906.40x = 23,823.15 × 15,541.90
  4. Step 4: Simplify right side
    15,906.40x = 370,257,014.99
  5. Step 5: Solve for x
    x = 370,257,014.99/15,906.40
  6. Step 6: Final answer
    x = 23,277.24

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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.