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Finding the Fourth Proportional to 20,993.40, 28,970.64 and 11,561.76

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Solution

The fourth proportional to 20,993.40, 28,970.64 and 11,561.76 is: 15,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.40 : 28,970.64 = 11,561.76 : x
  2. Step 2: Convert to fraction form
    20,993.40/28,970.64 = 11,561.76/x
  3. Step 3: Cross multiply
    20,993.40x = 28,970.64 × 11,561.76
  4. Step 4: Simplify right side
    20,993.40x = 334,951,586.73
  5. Step 5: Solve for x
    x = 334,951,586.73/20,993.40
  6. Step 6: Final answer
    x = 15,955.09

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1.5x scale

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.