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Finding the Fourth Proportional to 14,202.90, 19,599.21 and 7,829.48

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Solution

The fourth proportional to 14,202.90, 19,599.21 and 7,829.48 is: 10,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.90 : 19,599.21 = 7,829.48 : x
  2. Step 2: Convert to fraction form
    14,202.90/19,599.21 = 7,829.48/x
  3. Step 3: Cross multiply
    14,202.90x = 19,599.21 × 7,829.48
  4. Step 4: Simplify right side
    14,202.90x = 153,451,687.16
  5. Step 5: Solve for x
    x = 153,451,687.16/14,202.90
  6. Step 6: Final answer
    x = 10,804.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.