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Finding the Fourth Proportional to 12,704.83, 19,012.89 and 9,697.70

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Solution

The fourth proportional to 12,704.83, 19,012.89 and 9,697.70 is: 14,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.83 : 19,012.89 = 9,697.70 : x
  2. Step 2: Convert to fraction form
    12,704.83/19,012.89 = 9,697.70/x
  3. Step 3: Cross multiply
    12,704.83x = 19,012.89 × 9,697.70
  4. Step 4: Simplify right side
    12,704.83x = 184,381,303.35
  5. Step 5: Solve for x
    x = 184,381,303.35/12,704.83
  6. Step 6: Final answer
    x = 14,512.69

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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.