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Finding the Fourth Proportional to 12,071.42, 16,658.55 and 7,355.69

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Solution

The fourth proportional to 12,071.42, 16,658.55 and 7,355.69 is: 10,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.42 : 16,658.55 = 7,355.69 : x
  2. Step 2: Convert to fraction form
    12,071.42/16,658.55 = 7,355.69/x
  3. Step 3: Cross multiply
    12,071.42x = 16,658.55 × 7,355.69
  4. Step 4: Simplify right side
    12,071.42x = 122,535,046.36
  5. Step 5: Solve for x
    x = 122,535,046.36/12,071.42
  6. Step 6: Final answer
    x = 10,150.84

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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.