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Finding the Fourth Proportional to 13,031.44, 17,985.72 and 7,729.20

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Solution

The fourth proportional to 13,031.44, 17,985.72 and 7,729.20 is: 10,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.44 : 17,985.72 = 7,729.20 : x
  2. Step 2: Convert to fraction form
    13,031.44/17,985.72 = 7,729.20/x
  3. Step 3: Cross multiply
    13,031.44x = 17,985.72 × 7,729.20
  4. Step 4: Simplify right side
    13,031.44x = 139,015,227.02
  5. Step 5: Solve for x
    x = 139,015,227.02/13,031.44
  6. Step 6: Final answer
    x = 10,667.68

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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.