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Finding the Fourth Proportional to 23,852.75, 35,779.12 and 9,058.16

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Solution

The fourth proportional to 23,852.75, 35,779.12 and 9,058.16 is: 13,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.75 : 35,779.12 = 9,058.16 : x
  2. Step 2: Convert to fraction form
    23,852.75/35,779.12 = 9,058.16/x
  3. Step 3: Cross multiply
    23,852.75x = 35,779.12 × 9,058.16
  4. Step 4: Simplify right side
    23,852.75x = 324,093,060.42
  5. Step 5: Solve for x
    x = 324,093,060.42/23,852.75
  6. Step 6: Final answer
    x = 13,587.24

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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.