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Finding the Fourth Proportional to 12,332.42, 17,013.94 and 7,855.36

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Solution

The fourth proportional to 12,332.42, 17,013.94 and 7,855.36 is: 10,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.42 : 17,013.94 = 7,855.36 : x
  2. Step 2: Convert to fraction form
    12,332.42/17,013.94 = 7,855.36/x
  3. Step 3: Cross multiply
    12,332.42x = 17,013.94 × 7,855.36
  4. Step 4: Simplify right side
    12,332.42x = 133,650,623.72
  5. Step 5: Solve for x
    x = 133,650,623.72/12,332.42
  6. Step 6: Final answer
    x = 10,837.34

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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.