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Finding the Fourth Proportional to 12,755.34, 19,130.87 and 9,046.31

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Solution

The fourth proportional to 12,755.34, 19,130.87 and 9,046.31 is: 13,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.34 : 19,130.87 = 9,046.31 : x
  2. Step 2: Convert to fraction form
    12,755.34/19,130.87 = 9,046.31/x
  3. Step 3: Cross multiply
    12,755.34x = 19,130.87 × 9,046.31
  4. Step 4: Simplify right side
    12,755.34x = 173,063,707.55
  5. Step 5: Solve for x
    x = 173,063,707.55/12,755.34
  6. Step 6: Final answer
    x = 13,567.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.