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Finding the Fourth Proportional to 12,806.94, 19,216.06 and 5,416.50

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Solution

The fourth proportional to 12,806.94, 19,216.06 and 5,416.50 is: 8,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.94 : 19,216.06 = 5,416.50 : x
  2. Step 2: Convert to fraction form
    12,806.94/19,216.06 = 5,416.50/x
  3. Step 3: Cross multiply
    12,806.94x = 19,216.06 × 5,416.50
  4. Step 4: Simplify right side
    12,806.94x = 104,083,788.99
  5. Step 5: Solve for x
    x = 104,083,788.99/12,806.94
  6. Step 6: Final answer
    x = 8,127.14

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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.