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Finding the Fourth Proportional to 14,043.69, 21,047.85 and 12,284.51

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Solution

The fourth proportional to 14,043.69, 21,047.85 and 12,284.51 is: 18,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.69 : 21,047.85 = 12,284.51 : x
  2. Step 2: Convert to fraction form
    14,043.69/21,047.85 = 12,284.51/x
  3. Step 3: Cross multiply
    14,043.69x = 21,047.85 × 12,284.51
  4. Step 4: Simplify right side
    14,043.69x = 258,562,418.56
  5. Step 5: Solve for x
    x = 258,562,418.56/14,043.69
  6. Step 6: Final answer
    x = 18,411.29

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