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Finding the Fourth Proportional to 13,430.81, 18,534.89 and 8,122.55

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Solution

The fourth proportional to 13,430.81, 18,534.89 and 8,122.55 is: 11,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.81 : 18,534.89 = 8,122.55 : x
  2. Step 2: Convert to fraction form
    13,430.81/18,534.89 = 8,122.55/x
  3. Step 3: Cross multiply
    13,430.81x = 18,534.89 × 8,122.55
  4. Step 4: Simplify right side
    13,430.81x = 150,550,498.40
  5. Step 5: Solve for x
    x = 150,550,498.40/13,430.81
  6. Step 6: Final answer
    x = 11,209.34

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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.