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Finding the Fourth Proportional to 15,897.60, 23,846.40 and 8,121.60

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Solution

The fourth proportional to 15,897.60, 23,846.40 and 8,121.60 is: 12,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.60 : 23,846.40 = 8,121.60 : x
  2. Step 2: Convert to fraction form
    15,897.60/23,846.40 = 8,121.60/x
  3. Step 3: Cross multiply
    15,897.60x = 23,846.40 × 8,121.60
  4. Step 4: Simplify right side
    15,897.60x = 193,670,922.24
  5. Step 5: Solve for x
    x = 193,670,922.24/15,897.60
  6. Step 6: Final answer
    x = 12,182.40

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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.