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Finding the Fourth Proportional to 14,221.34, 19,622.43 and 8,252.24

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Solution

The fourth proportional to 14,221.34, 19,622.43 and 8,252.24 is: 11,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.34 : 19,622.43 = 8,252.24 : x
  2. Step 2: Convert to fraction form
    14,221.34/19,622.43 = 8,252.24/x
  3. Step 3: Cross multiply
    14,221.34x = 19,622.43 × 8,252.24
  4. Step 4: Simplify right side
    14,221.34x = 161,928,903.63
  5. Step 5: Solve for x
    x = 161,928,903.63/14,221.34
  6. Step 6: Final answer
    x = 11,386.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.