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Finding the Fourth Proportional to 13,932, 19,235.04 and 8,972.64

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Solution

The fourth proportional to 13,932, 19,235.04 and 8,972.64 is: 12,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932 : 19,235.04 = 8,972.64 : x
  2. Step 2: Convert to fraction form
    13,932/19,235.04 = 8,972.64/x
  3. Step 3: Cross multiply
    13,932x = 19,235.04 × 8,972.64
  4. Step 4: Simplify right side
    13,932x = 172,589,089.31
  5. Step 5: Solve for x
    x = 172,589,089.31/13,932
  6. Step 6: Final answer
    x = 12,387.96

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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.