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Finding the Fourth Proportional to 13,144.88, 19,717.32 and 12,853.28

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Solution

The fourth proportional to 13,144.88, 19,717.32 and 12,853.28 is: 19,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.88 : 19,717.32 = 12,853.28 : x
  2. Step 2: Convert to fraction form
    13,144.88/19,717.32 = 12,853.28/x
  3. Step 3: Cross multiply
    13,144.88x = 19,717.32 × 12,853.28
  4. Step 4: Simplify right side
    13,144.88x = 253,432,234.81
  5. Step 5: Solve for x
    x = 253,432,234.81/13,144.88
  6. Step 6: Final answer
    x = 19,279.92

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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.