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Finding the Fourth Proportional to 13,168.36, 18,184.53 and 8,460.91

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Solution

The fourth proportional to 13,168.36, 18,184.53 and 8,460.91 is: 11,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,168.36 : 18,184.53 = 8,460.91 : x
  2. Step 2: Convert to fraction form
    13,168.36/18,184.53 = 8,460.91/x
  3. Step 3: Cross multiply
    13,168.36x = 18,184.53 × 8,460.91
  4. Step 4: Simplify right side
    13,168.36x = 153,857,671.72
  5. Step 5: Solve for x
    x = 153,857,671.72/13,168.36
  6. Step 6: Final answer
    x = 11,683.89

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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.