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Finding the Fourth Proportional to 15,928.96, 21,980.28 and 9,213.52

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Solution

The fourth proportional to 15,928.96, 21,980.28 and 9,213.52 is: 12,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928.96 : 21,980.28 = 9,213.52 : x
  2. Step 2: Convert to fraction form
    15,928.96/21,980.28 = 9,213.52/x
  3. Step 3: Cross multiply
    15,928.96x = 21,980.28 × 9,213.52
  4. Step 4: Simplify right side
    15,928.96x = 202,515,749.39
  5. Step 5: Solve for x
    x = 202,515,749.39/15,928.96
  6. Step 6: Final answer
    x = 12,713.68

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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.