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Finding the Fourth Proportional to 12,195.52, 16,830.66 and 7,417.33

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Solution

The fourth proportional to 12,195.52, 16,830.66 and 7,417.33 is: 10,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.52 : 16,830.66 = 7,417.33 : x
  2. Step 2: Convert to fraction form
    12,195.52/16,830.66 = 7,417.33/x
  3. Step 3: Cross multiply
    12,195.52x = 16,830.66 × 7,417.33
  4. Step 4: Simplify right side
    12,195.52x = 124,838,559.34
  5. Step 5: Solve for x
    x = 124,838,559.34/12,195.52
  6. Step 6: Final answer
    x = 10,236.43

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