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Finding the Fourth Proportional to 23,852.02, 35,779 and 6,083.14

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Solution

The fourth proportional to 23,852.02, 35,779 and 6,083.14 is: 9,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.02 : 35,779 = 6,083.14 : x
  2. Step 2: Convert to fraction form
    23,852.02/35,779 = 6,083.14/x
  3. Step 3: Cross multiply
    23,852.02x = 35,779 × 6,083.14
  4. Step 4: Simplify right side
    23,852.02x = 217,648,666.06
  5. Step 5: Solve for x
    x = 217,648,666.06/23,852.02
  6. Step 6: Final answer
    x = 9,124.96

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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.