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Finding the Fourth Proportional to 23,853.09, 35,780.40 and 12,000.40

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Solution

The fourth proportional to 23,853.09, 35,780.40 and 12,000.40 is: 18,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.09 : 35,780.40 = 12,000.40 : x
  2. Step 2: Convert to fraction form
    23,853.09/35,780.40 = 12,000.40/x
  3. Step 3: Cross multiply
    23,853.09x = 35,780.40 × 12,000.40
  4. Step 4: Simplify right side
    23,853.09x = 429,379,112.16
  5. Step 5: Solve for x
    x = 429,379,112.16/23,853.09
  6. Step 6: Final answer
    x = 18,000.98

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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.