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Finding the Fourth Proportional to 12,870.50, 19,309 and 3,636.50

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Solution

The fourth proportional to 12,870.50, 19,309 and 3,636.50 is: 5,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.50 : 19,309 = 3,636.50 : x
  2. Step 2: Convert to fraction form
    12,870.50/19,309 = 3,636.50/x
  3. Step 3: Cross multiply
    12,870.50x = 19,309 × 3,636.50
  4. Step 4: Simplify right side
    12,870.50x = 70,217,178.50
  5. Step 5: Solve for x
    x = 70,217,178.50/12,870.50
  6. Step 6: Final answer
    x = 5,455.67

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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.