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Finding the Fourth Proportional to 12,643.14, 18,949.35 and 8,946.45

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Solution

The fourth proportional to 12,643.14, 18,949.35 and 8,946.45 is: 13,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.14 : 18,949.35 = 8,946.45 : x
  2. Step 2: Convert to fraction form
    12,643.14/18,949.35 = 8,946.45/x
  3. Step 3: Cross multiply
    12,643.14x = 18,949.35 × 8,946.45
  4. Step 4: Simplify right side
    12,643.14x = 169,529,412.31
  5. Step 5: Solve for x
    x = 169,529,412.31/12,643.14
  6. Step 6: Final answer
    x = 13,408.81

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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.