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Finding the Fourth Proportional to 12,932.34, 17,846.46 and 7,558.44

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Solution

The fourth proportional to 12,932.34, 17,846.46 and 7,558.44 is: 10,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.34 : 17,846.46 = 7,558.44 : x
  2. Step 2: Convert to fraction form
    12,932.34/17,846.46 = 7,558.44/x
  3. Step 3: Cross multiply
    12,932.34x = 17,846.46 × 7,558.44
  4. Step 4: Simplify right side
    12,932.34x = 134,891,397.12
  5. Step 5: Solve for x
    x = 134,891,397.12/12,932.34
  6. Step 6: Final answer
    x = 10,430.55

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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.