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Finding the Fourth Proportional to 13,718.12, 18,930.58 and 7,668.21

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Solution

The fourth proportional to 13,718.12, 18,930.58 and 7,668.21 is: 10,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.12 : 18,930.58 = 7,668.21 : x
  2. Step 2: Convert to fraction form
    13,718.12/18,930.58 = 7,668.21/x
  3. Step 3: Cross multiply
    13,718.12x = 18,930.58 × 7,668.21
  4. Step 4: Simplify right side
    13,718.12x = 145,163,643.69
  5. Step 5: Solve for x
    x = 145,163,643.69/13,718.12
  6. Step 6: Final answer
    x = 10,581.89

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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.