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Finding the Fourth Proportional to 14,991.76, 20,705.34 and 11,674.48

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Solution

The fourth proportional to 14,991.76, 20,705.34 and 11,674.48 is: 16,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,991.76 : 20,705.34 = 11,674.48 : x
  2. Step 2: Convert to fraction form
    14,991.76/20,705.34 = 11,674.48/x
  3. Step 3: Cross multiply
    14,991.76x = 20,705.34 × 11,674.48
  4. Step 4: Simplify right side
    14,991.76x = 241,724,077.72
  5. Step 5: Solve for x
    x = 241,724,077.72/14,991.76
  6. Step 6: Final answer
    x = 16,123.80

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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.