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Finding the Fourth Proportional to 14,128.11, 19,500.38 and 9,653.67

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Solution

The fourth proportional to 14,128.11, 19,500.38 and 9,653.67 is: 13,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.11 : 19,500.38 = 9,653.67 : x
  2. Step 2: Convert to fraction form
    14,128.11/19,500.38 = 9,653.67/x
  3. Step 3: Cross multiply
    14,128.11x = 19,500.38 × 9,653.67
  4. Step 4: Simplify right side
    14,128.11x = 188,250,185.13
  5. Step 5: Solve for x
    x = 188,250,185.13/14,128.11
  6. Step 6: Final answer
    x = 13,324.51

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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.