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Finding the Fourth Proportional to 29,007.12, 43,493 and 12,357.84

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Solution

The fourth proportional to 29,007.12, 43,493 and 12,357.84 is: 18,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,007.12 : 43,493 = 12,357.84 : x
  2. Step 2: Convert to fraction form
    29,007.12/43,493 = 12,357.84/x
  3. Step 3: Cross multiply
    29,007.12x = 43,493 × 12,357.84
  4. Step 4: Simplify right side
    29,007.12x = 537,479,535.12
  5. Step 5: Solve for x
    x = 537,479,535.12/29,007.12
  6. Step 6: Final answer
    x = 18,529.23

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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.