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Finding the Fourth Proportional to 12,711.32, 17,548.26 and 9,872.32

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Solution

The fourth proportional to 12,711.32, 17,548.26 and 9,872.32 is: 13,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.32 : 17,548.26 = 9,872.32 : x
  2. Step 2: Convert to fraction form
    12,711.32/17,548.26 = 9,872.32/x
  3. Step 3: Cross multiply
    12,711.32x = 17,548.26 × 9,872.32
  4. Step 4: Simplify right side
    12,711.32x = 173,242,038.16
  5. Step 5: Solve for x
    x = 173,242,038.16/12,711.32
  6. Step 6: Final answer
    x = 13,628.96

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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.