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Finding the Fourth Proportional to 10,239.58, 15,345.96 and 9,982

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Solution

The fourth proportional to 10,239.58, 15,345.96 and 9,982 is: 14,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.58 : 15,345.96 = 9,982 : x
  2. Step 2: Convert to fraction form
    10,239.58/15,345.96 = 9,982/x
  3. Step 3: Cross multiply
    10,239.58x = 15,345.96 × 9,982
  4. Step 4: Simplify right side
    10,239.58x = 153,183,372.72
  5. Step 5: Solve for x
    x = 153,183,372.72/10,239.58
  6. Step 6: Final answer
    x = 14,959.93

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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.