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Finding the Fourth Proportional to 16,008, 22,096.80 and 11,054.40

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Solution

The fourth proportional to 16,008, 22,096.80 and 11,054.40 is: 15,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008 : 22,096.80 = 11,054.40 : x
  2. Step 2: Convert to fraction form
    16,008/22,096.80 = 11,054.40/x
  3. Step 3: Cross multiply
    16,008x = 22,096.80 × 11,054.40
  4. Step 4: Simplify right side
    16,008x = 244,266,865.92
  5. Step 5: Solve for x
    x = 244,266,865.92/16,008
  6. Step 6: Final answer
    x = 15,259.05

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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.