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Finding the Fourth Proportional to 12,145.85, 16,765.47 and 7,111.69

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Solution

The fourth proportional to 12,145.85, 16,765.47 and 7,111.69 is: 9,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.85 : 16,765.47 = 7,111.69 : x
  2. Step 2: Convert to fraction form
    12,145.85/16,765.47 = 7,111.69/x
  3. Step 3: Cross multiply
    12,145.85x = 16,765.47 × 7,111.69
  4. Step 4: Simplify right side
    12,145.85x = 119,230,830.58
  5. Step 5: Solve for x
    x = 119,230,830.58/12,145.85
  6. Step 6: Final answer
    x = 9,816.59

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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.