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Finding the Fourth Proportional to 21,133, 29,156.47 and 12,180.34

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Solution

The fourth proportional to 21,133, 29,156.47 and 12,180.34 is: 16,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133 : 29,156.47 = 12,180.34 : x
  2. Step 2: Convert to fraction form
    21,133/29,156.47 = 12,180.34/x
  3. Step 3: Cross multiply
    21,133x = 29,156.47 × 12,180.34
  4. Step 4: Simplify right side
    21,133x = 355,135,717.80
  5. Step 5: Solve for x
    x = 355,135,717.80/21,133
  6. Step 6: Final answer
    x = 16,804.79

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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.