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Finding the Fourth Proportional to 14,201.84, 21,379.46 and 12,773

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Solution

The fourth proportional to 14,201.84, 21,379.46 and 12,773 is: 19,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.84 : 21,379.46 = 12,773 : x
  2. Step 2: Convert to fraction form
    14,201.84/21,379.46 = 12,773/x
  3. Step 3: Cross multiply
    14,201.84x = 21,379.46 × 12,773
  4. Step 4: Simplify right side
    14,201.84x = 273,079,842.58
  5. Step 5: Solve for x
    x = 273,079,842.58/14,201.84
  6. Step 6: Final answer
    x = 19,228.48

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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.