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Finding the Fourth Proportional to 19,982.58, 29,952.21 and 9,858

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Solution

The fourth proportional to 19,982.58, 29,952.21 and 9,858 is: 14,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.58 : 29,952.21 = 9,858 : x
  2. Step 2: Convert to fraction form
    19,982.58/29,952.21 = 9,858/x
  3. Step 3: Cross multiply
    19,982.58x = 29,952.21 × 9,858
  4. Step 4: Simplify right side
    19,982.58x = 295,268,886.18
  5. Step 5: Solve for x
    x = 295,268,886.18/19,982.58
  6. Step 6: Final answer
    x = 14,776.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.