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Finding the Fourth Proportional to 14,202.33, 19,598.38 and 7,829.79

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Solution

The fourth proportional to 14,202.33, 19,598.38 and 7,829.79 is: 10,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.33 : 19,598.38 = 7,829.79 : x
  2. Step 2: Convert to fraction form
    14,202.33/19,598.38 = 7,829.79/x
  3. Step 3: Cross multiply
    14,202.33x = 19,598.38 × 7,829.79
  4. Step 4: Simplify right side
    14,202.33x = 153,451,199.74
  5. Step 5: Solve for x
    x = 153,451,199.74/14,202.33
  6. Step 6: Final answer
    x = 10,804.65

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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.