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Finding the Fourth Proportional to 22,088, 30,481.44 and 12,152.64

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Solution

The fourth proportional to 22,088, 30,481.44 and 12,152.64 is: 16,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,088 : 30,481.44 = 12,152.64 : x
  2. Step 2: Convert to fraction form
    22,088/30,481.44 = 12,152.64/x
  3. Step 3: Cross multiply
    22,088x = 30,481.44 × 12,152.64
  4. Step 4: Simplify right side
    22,088x = 370,429,967.00
  5. Step 5: Solve for x
    x = 370,429,967.00/22,088
  6. Step 6: Final answer
    x = 16,770.64

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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.