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Finding the Fourth Proportional to 12,922.34, 17,835.61 and 7,885.48

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Solution

The fourth proportional to 12,922.34, 17,835.61 and 7,885.48 is: 10,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.34 : 17,835.61 = 7,885.48 : x
  2. Step 2: Convert to fraction form
    12,922.34/17,835.61 = 7,885.48/x
  3. Step 3: Cross multiply
    12,922.34x = 17,835.61 × 7,885.48
  4. Step 4: Simplify right side
    12,922.34x = 140,642,345.94
  5. Step 5: Solve for x
    x = 140,642,345.94/12,922.34
  6. Step 6: Final answer
    x = 10,883.66

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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.