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Finding the Fourth Proportional to 12,986.70, 19,484.85 and 12,506.70

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Solution

The fourth proportional to 12,986.70, 19,484.85 and 12,506.70 is: 18,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.70 : 19,484.85 = 12,506.70 : x
  2. Step 2: Convert to fraction form
    12,986.70/19,484.85 = 12,506.70/x
  3. Step 3: Cross multiply
    12,986.70x = 19,484.85 × 12,506.70
  4. Step 4: Simplify right side
    12,986.70x = 243,691,173.50
  5. Step 5: Solve for x
    x = 243,691,173.50/12,986.70
  6. Step 6: Final answer
    x = 18,764.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.