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Finding the Fourth Proportional to 13,664.34, 18,854.10 and 7,696.26

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Solution

The fourth proportional to 13,664.34, 18,854.10 and 7,696.26 is: 10,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.34 : 18,854.10 = 7,696.26 : x
  2. Step 2: Convert to fraction form
    13,664.34/18,854.10 = 7,696.26/x
  3. Step 3: Cross multiply
    13,664.34x = 18,854.10 × 7,696.26
  4. Step 4: Simplify right side
    13,664.34x = 145,106,055.67
  5. Step 5: Solve for x
    x = 145,106,055.67/13,664.34
  6. Step 6: Final answer
    x = 10,619.32

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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.