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Finding the Fourth Proportional to 23,434.80, 35,157.33 and 7,852.02

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Solution

The fourth proportional to 23,434.80, 35,157.33 and 7,852.02 is: 11,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.80 : 35,157.33 = 7,852.02 : x
  2. Step 2: Convert to fraction form
    23,434.80/35,157.33 = 7,852.02/x
  3. Step 3: Cross multiply
    23,434.80x = 35,157.33 × 7,852.02
  4. Step 4: Simplify right side
    23,434.80x = 276,056,058.31
  5. Step 5: Solve for x
    x = 276,056,058.31/23,434.80
  6. Step 6: Final answer
    x = 11,779.75

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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.