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Finding the Fourth Proportional to 23,575.68, 32,534.82 and 12,965.22

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Solution

The fourth proportional to 23,575.68, 32,534.82 and 12,965.22 is: 17,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,575.68 : 32,534.82 = 12,965.22 : x
  2. Step 2: Convert to fraction form
    23,575.68/32,534.82 = 12,965.22/x
  3. Step 3: Cross multiply
    23,575.68x = 32,534.82 × 12,965.22
  4. Step 4: Simplify right side
    23,575.68x = 421,821,098.96
  5. Step 5: Solve for x
    x = 421,821,098.96/23,575.68
  6. Step 6: Final answer
    x = 17,892.21

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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.