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Finding the Fourth Proportional to 13,496.24, 18,612.64 and 8,460.96

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Solution

The fourth proportional to 13,496.24, 18,612.64 and 8,460.96 is: 11,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.24 : 18,612.64 = 8,460.96 : x
  2. Step 2: Convert to fraction form
    13,496.24/18,612.64 = 8,460.96/x
  3. Step 3: Cross multiply
    13,496.24x = 18,612.64 × 8,460.96
  4. Step 4: Simplify right side
    13,496.24x = 157,480,802.53
  5. Step 5: Solve for x
    x = 157,480,802.53/13,496.24
  6. Step 6: Final answer
    x = 11,668.49

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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.