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Finding the Fourth Proportional to 12,864.90, 17,753.48 and 7,485.42

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Solution

The fourth proportional to 12,864.90, 17,753.48 and 7,485.42 is: 10,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.90 : 17,753.48 = 7,485.42 : x
  2. Step 2: Convert to fraction form
    12,864.90/17,753.48 = 7,485.42/x
  3. Step 3: Cross multiply
    12,864.90x = 17,753.48 × 7,485.42
  4. Step 4: Simplify right side
    12,864.90x = 132,892,254.26
  5. Step 5: Solve for x
    x = 132,892,254.26/12,864.90
  6. Step 6: Final answer
    x = 10,329.83

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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.