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Finding the Fourth Proportional to 13,430.91, 18,533.80 and 8,394.89

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Solution

The fourth proportional to 13,430.91, 18,533.80 and 8,394.89 is: 11,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.91 : 18,533.80 = 8,394.89 : x
  2. Step 2: Convert to fraction form
    13,430.91/18,533.80 = 8,394.89/x
  3. Step 3: Cross multiply
    13,430.91x = 18,533.80 × 8,394.89
  4. Step 4: Simplify right side
    13,430.91x = 155,589,222.55
  5. Step 5: Solve for x
    x = 155,589,222.55/13,430.91
  6. Step 6: Final answer
    x = 11,584.41

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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.