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Finding the Fourth Proportional to 13,821.70, 20,807.22 and 12,596.98

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Solution

The fourth proportional to 13,821.70, 20,807.22 and 12,596.98 is: 18,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.70 : 20,807.22 = 12,596.98 : x
  2. Step 2: Convert to fraction form
    13,821.70/20,807.22 = 12,596.98/x
  3. Step 3: Cross multiply
    13,821.70x = 20,807.22 × 12,596.98
  4. Step 4: Simplify right side
    13,821.70x = 262,108,071.21
  5. Step 5: Solve for x
    x = 262,108,071.21/13,821.70
  6. Step 6: Final answer
    x = 18,963.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.