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Finding the Fourth Proportional to 12,995.94, 19,498.56 and 4,230.90

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Solution

The fourth proportional to 12,995.94, 19,498.56 and 4,230.90 is: 6,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.94 : 19,498.56 = 4,230.90 : x
  2. Step 2: Convert to fraction form
    12,995.94/19,498.56 = 4,230.90/x
  3. Step 3: Cross multiply
    12,995.94x = 19,498.56 × 4,230.90
  4. Step 4: Simplify right side
    12,995.94x = 82,496,457.50
  5. Step 5: Solve for x
    x = 82,496,457.50/12,995.94
  6. Step 6: Final answer
    x = 6,347.86

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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.