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Finding the Fourth Proportional to 15,722.24, 21,674.98 and 12,546.24

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Solution

The fourth proportional to 15,722.24, 21,674.98 and 12,546.24 is: 17,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.24 : 21,674.98 = 12,546.24 : x
  2. Step 2: Convert to fraction form
    15,722.24/21,674.98 = 12,546.24/x
  3. Step 3: Cross multiply
    15,722.24x = 21,674.98 × 12,546.24
  4. Step 4: Simplify right side
    15,722.24x = 271,939,501.08
  5. Step 5: Solve for x
    x = 271,939,501.08/15,722.24
  6. Step 6: Final answer
    x = 17,296.49

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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.