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Finding the Fourth Proportional to 23,574.82, 32,534.18 and 12,965.44

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Solution

The fourth proportional to 23,574.82, 32,534.18 and 12,965.44 is: 17,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.82 : 32,534.18 = 12,965.44 : x
  2. Step 2: Convert to fraction form
    23,574.82/32,534.18 = 12,965.44/x
  3. Step 3: Cross multiply
    23,574.82x = 32,534.18 × 12,965.44
  4. Step 4: Simplify right side
    23,574.82x = 421,819,958.74
  5. Step 5: Solve for x
    x = 421,819,958.74/23,574.82
  6. Step 6: Final answer
    x = 17,892.82

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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.