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Finding the Fourth Proportional to 13,014.12, 17,954.82 and 7,421.88

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Solution

The fourth proportional to 13,014.12, 17,954.82 and 7,421.88 is: 10,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.12 : 17,954.82 = 7,421.88 : x
  2. Step 2: Convert to fraction form
    13,014.12/17,954.82 = 7,421.88/x
  3. Step 3: Cross multiply
    13,014.12x = 17,954.82 × 7,421.88
  4. Step 4: Simplify right side
    13,014.12x = 133,258,519.46
  5. Step 5: Solve for x
    x = 133,258,519.46/13,014.12
  6. Step 6: Final answer
    x = 10,239.53

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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.