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Finding the Fourth Proportional to 12,196.08, 16,830.90 and 7,477.56

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Solution

The fourth proportional to 12,196.08, 16,830.90 and 7,477.56 is: 10,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.08 : 16,830.90 = 7,477.56 : x
  2. Step 2: Convert to fraction form
    12,196.08/16,830.90 = 7,477.56/x
  3. Step 3: Cross multiply
    12,196.08x = 16,830.90 × 7,477.56
  4. Step 4: Simplify right side
    12,196.08x = 125,854,064.60
  5. Step 5: Solve for x
    x = 125,854,064.60/12,196.08
  6. Step 6: Final answer
    x = 10,319.22

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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.