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Finding the Fourth Proportional to 22,829.32, 34,194.04 and 14,037.56

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Solution

The fourth proportional to 22,829.32, 34,194.04 and 14,037.56 is: 21,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.32 : 34,194.04 = 14,037.56 : x
  2. Step 2: Convert to fraction form
    22,829.32/34,194.04 = 14,037.56/x
  3. Step 3: Cross multiply
    22,829.32x = 34,194.04 × 14,037.56
  4. Step 4: Simplify right side
    22,829.32x = 480,000,888.14
  5. Step 5: Solve for x
    x = 480,000,888.14/22,829.32
  6. Step 6: Final answer
    x = 21,025.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.