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Finding the Fourth Proportional to 24,047.10, 36,072.46 and 7,178.78

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Solution

The fourth proportional to 24,047.10, 36,072.46 and 7,178.78 is: 10,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.10 : 36,072.46 = 7,178.78 : x
  2. Step 2: Convert to fraction form
    24,047.10/36,072.46 = 7,178.78/x
  3. Step 3: Cross multiply
    24,047.10x = 36,072.46 × 7,178.78
  4. Step 4: Simplify right side
    24,047.10x = 258,956,091.98
  5. Step 5: Solve for x
    x = 258,956,091.98/24,047.10
  6. Step 6: Final answer
    x = 10,768.70

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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.