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Finding the Fourth Proportional to 14,203.50, 21,301.17 and 4,340.46

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Solution

The fourth proportional to 14,203.50, 21,301.17 and 4,340.46 is: 6,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.50 : 21,301.17 = 4,340.46 : x
  2. Step 2: Convert to fraction form
    14,203.50/21,301.17 = 4,340.46/x
  3. Step 3: Cross multiply
    14,203.50x = 21,301.17 × 4,340.46
  4. Step 4: Simplify right side
    14,203.50x = 92,456,876.34
  5. Step 5: Solve for x
    x = 92,456,876.34/14,203.50
  6. Step 6: Final answer
    x = 6,509.44

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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.