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Finding the Fourth Proportional to 20,980.56, 28,953.20 and 11,549.68

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Solution

The fourth proportional to 20,980.56, 28,953.20 and 11,549.68 is: 15,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.56 : 28,953.20 = 11,549.68 : x
  2. Step 2: Convert to fraction form
    20,980.56/28,953.20 = 11,549.68/x
  3. Step 3: Cross multiply
    20,980.56x = 28,953.20 × 11,549.68
  4. Step 4: Simplify right side
    20,980.56x = 334,400,194.98
  5. Step 5: Solve for x
    x = 334,400,194.98/20,980.56
  6. Step 6: Final answer
    x = 15,938.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.