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Finding the Fourth Proportional to 14,329.82, 21,474.70 and 12,210.37

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Solution

The fourth proportional to 14,329.82, 21,474.70 and 12,210.37 is: 18,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329.82 : 21,474.70 = 12,210.37 : x
  2. Step 2: Convert to fraction form
    14,329.82/21,474.70 = 12,210.37/x
  3. Step 3: Cross multiply
    14,329.82x = 21,474.70 × 12,210.37
  4. Step 4: Simplify right side
    14,329.82x = 262,214,097.64
  5. Step 5: Solve for x
    x = 262,214,097.64/14,329.82
  6. Step 6: Final answer
    x = 18,298.50

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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.