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Finding the Fourth Proportional to 14,203.40, 19,636.13 and 10,660.46

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Solution

The fourth proportional to 14,203.40, 19,636.13 and 10,660.46 is: 14,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.40 : 19,636.13 = 10,660.46 : x
  2. Step 2: Convert to fraction form
    14,203.40/19,636.13 = 10,660.46/x
  3. Step 3: Cross multiply
    14,203.40x = 19,636.13 × 10,660.46
  4. Step 4: Simplify right side
    14,203.40x = 209,330,125.12
  5. Step 5: Solve for x
    x = 209,330,125.12/14,203.40
  6. Step 6: Final answer
    x = 14,738.03

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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.