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Finding the Fourth Proportional to 14,117.56, 19,481.46 and 7,829.56

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Solution

The fourth proportional to 14,117.56, 19,481.46 and 7,829.56 is: 10,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.56 : 19,481.46 = 7,829.56 : x
  2. Step 2: Convert to fraction form
    14,117.56/19,481.46 = 7,829.56/x
  3. Step 3: Cross multiply
    14,117.56x = 19,481.46 × 7,829.56
  4. Step 4: Simplify right side
    14,117.56x = 152,531,259.96
  5. Step 5: Solve for x
    x = 152,531,259.96/14,117.56
  6. Step 6: Final answer
    x = 10,804.36

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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.