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Finding the Fourth Proportional to 13,193.28, 18,206.64 and 7,888.32

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Solution

The fourth proportional to 13,193.28, 18,206.64 and 7,888.32 is: 10,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.28 : 18,206.64 = 7,888.32 : x
  2. Step 2: Convert to fraction form
    13,193.28/18,206.64 = 7,888.32/x
  3. Step 3: Cross multiply
    13,193.28x = 18,206.64 × 7,888.32
  4. Step 4: Simplify right side
    13,193.28x = 143,619,802.44
  5. Step 5: Solve for x
    x = 143,619,802.44/13,193.28
  6. Step 6: Final answer
    x = 10,885.83

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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.