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Finding the Fourth Proportional to 14,326.02, 21,495.47 and 7,744.50

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Solution

The fourth proportional to 14,326.02, 21,495.47 and 7,744.50 is: 11,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.02 : 21,495.47 = 7,744.50 : x
  2. Step 2: Convert to fraction form
    14,326.02/21,495.47 = 7,744.50/x
  3. Step 3: Cross multiply
    14,326.02x = 21,495.47 × 7,744.50
  4. Step 4: Simplify right side
    14,326.02x = 166,471,628.69
  5. Step 5: Solve for x
    x = 166,471,628.69/14,326.02
  6. Step 6: Final answer
    x = 11,620.23

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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.