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Finding the Fourth Proportional to 16,059.78, 22,157.14 and 9,343.98

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Solution

The fourth proportional to 16,059.78, 22,157.14 and 9,343.98 is: 12,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,059.78 : 22,157.14 = 9,343.98 : x
  2. Step 2: Convert to fraction form
    16,059.78/22,157.14 = 9,343.98/x
  3. Step 3: Cross multiply
    16,059.78x = 22,157.14 × 9,343.98
  4. Step 4: Simplify right side
    16,059.78x = 207,035,873.02
  5. Step 5: Solve for x
    x = 207,035,873.02/16,059.78
  6. Step 6: Final answer
    x = 12,891.58

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1.5x scale

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.