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Finding the Fourth Proportional to 21,142.04, 29,176.40 and 12,188

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Solution

The fourth proportional to 21,142.04, 29,176.40 and 12,188 is: 16,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.04 : 29,176.40 = 12,188 : x
  2. Step 2: Convert to fraction form
    21,142.04/29,176.40 = 12,188/x
  3. Step 3: Cross multiply
    21,142.04x = 29,176.40 × 12,188
  4. Step 4: Simplify right side
    21,142.04x = 355,601,963.20
  5. Step 5: Solve for x
    x = 355,601,963.20/21,142.04
  6. Step 6: Final answer
    x = 16,819.66

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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.