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Finding the Fourth Proportional to 12,292.93, 16,921.60 and 9,303.49

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Solution

The fourth proportional to 12,292.93, 16,921.60 and 9,303.49 is: 12,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.93 : 16,921.60 = 9,303.49 : x
  2. Step 2: Convert to fraction form
    12,292.93/16,921.60 = 9,303.49/x
  3. Step 3: Cross multiply
    12,292.93x = 16,921.60 × 9,303.49
  4. Step 4: Simplify right side
    12,292.93x = 157,429,936.38
  5. Step 5: Solve for x
    x = 157,429,936.38/12,292.93
  6. Step 6: Final answer
    x = 12,806.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.