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Finding the Fourth Proportional to 23,577.12, 35,343.12 and 8,775.84

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Solution

The fourth proportional to 23,577.12, 35,343.12 and 8,775.84 is: 13,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.12 : 35,343.12 = 8,775.84 : x
  2. Step 2: Convert to fraction form
    23,577.12/35,343.12 = 8,775.84/x
  3. Step 3: Cross multiply
    23,577.12x = 35,343.12 × 8,775.84
  4. Step 4: Simplify right side
    23,577.12x = 310,165,566.22
  5. Step 5: Solve for x
    x = 310,165,566.22/23,577.12
  6. Step 6: Final answer
    x = 13,155.36

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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.