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Finding the Fourth Proportional to 13,430.70, 18,529.06 and 7,764.41

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Solution

The fourth proportional to 13,430.70, 18,529.06 and 7,764.41 is: 10,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.70 : 18,529.06 = 7,764.41 : x
  2. Step 2: Convert to fraction form
    13,430.70/18,529.06 = 7,764.41/x
  3. Step 3: Cross multiply
    13,430.70x = 18,529.06 × 7,764.41
  4. Step 4: Simplify right side
    13,430.70x = 143,867,119.86
  5. Step 5: Solve for x
    x = 143,867,119.86/13,430.70
  6. Step 6: Final answer
    x = 10,711.81

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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.