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Finding the Fourth Proportional to 12,145.33, 16,771.53 and 7,677.01

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Solution

The fourth proportional to 12,145.33, 16,771.53 and 7,677.01 is: 10,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.33 : 16,771.53 = 7,677.01 : x
  2. Step 2: Convert to fraction form
    12,145.33/16,771.53 = 7,677.01/x
  3. Step 3: Cross multiply
    12,145.33x = 16,771.53 × 7,677.01
  4. Step 4: Simplify right side
    12,145.33x = 128,755,203.53
  5. Step 5: Solve for x
    x = 128,755,203.53/12,145.33
  6. Step 6: Final answer
    x = 10,601.21

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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.