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Finding the Fourth Proportional to 23,577, 32,535.42 and 12,966

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Solution

The fourth proportional to 23,577, 32,535.42 and 12,966 is: 17,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577 : 32,535.42 = 12,966 : x
  2. Step 2: Convert to fraction form
    23,577/32,535.42 = 12,966/x
  3. Step 3: Cross multiply
    23,577x = 32,535.42 × 12,966
  4. Step 4: Simplify right side
    23,577x = 421,854,255.72
  5. Step 5: Solve for x
    x = 421,854,255.72/23,577
  6. Step 6: Final answer
    x = 17,892.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.