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Finding the Fourth Proportional to 13,696.32, 18,881.28 and 9,212.16

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Solution

The fourth proportional to 13,696.32, 18,881.28 and 9,212.16 is: 12,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.32 : 18,881.28 = 9,212.16 : x
  2. Step 2: Convert to fraction form
    13,696.32/18,881.28 = 9,212.16/x
  3. Step 3: Cross multiply
    13,696.32x = 18,881.28 × 9,212.16
  4. Step 4: Simplify right side
    13,696.32x = 173,937,372.36
  5. Step 5: Solve for x
    x = 173,937,372.36/13,696.32
  6. Step 6: Final answer
    x = 12,699.57

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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.