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Finding the Fourth Proportional to 14,203.38, 19,600.56 and 7,829.76

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Solution

The fourth proportional to 14,203.38, 19,600.56 and 7,829.76 is: 10,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.38 : 19,600.56 = 7,829.76 : x
  2. Step 2: Convert to fraction form
    14,203.38/19,600.56 = 7,829.76/x
  3. Step 3: Cross multiply
    14,203.38x = 19,600.56 × 7,829.76
  4. Step 4: Simplify right side
    14,203.38x = 153,467,680.67
  5. Step 5: Solve for x
    x = 153,467,680.67/14,203.38
  6. Step 6: Final answer
    x = 10,805.01

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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.