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Finding the Fourth Proportional to 13,712.96, 18,923.50 and 8,123.96

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Solution

The fourth proportional to 13,712.96, 18,923.50 and 8,123.96 is: 11,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.96 : 18,923.50 = 8,123.96 : x
  2. Step 2: Convert to fraction form
    13,712.96/18,923.50 = 8,123.96/x
  3. Step 3: Cross multiply
    13,712.96x = 18,923.50 × 8,123.96
  4. Step 4: Simplify right side
    13,712.96x = 153,733,642.13
  5. Step 5: Solve for x
    x = 153,733,642.13/13,712.96
  6. Step 6: Final answer
    x = 11,210.83

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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.