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Finding the Fourth Proportional to 16,056.01, 22,164.87 and 12,078.64

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Solution

The fourth proportional to 16,056.01, 22,164.87 and 12,078.64 is: 16,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,056.01 : 22,164.87 = 12,078.64 : x
  2. Step 2: Convert to fraction form
    16,056.01/22,164.87 = 12,078.64/x
  3. Step 3: Cross multiply
    16,056.01x = 22,164.87 × 12,078.64
  4. Step 4: Simplify right side
    16,056.01x = 267,721,485.38
  5. Step 5: Solve for x
    x = 267,721,485.38/16,056.01
  6. Step 6: Final answer
    x = 16,674.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.