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Finding the Fourth Proportional to 13,021.76, 17,930.40 and 10,360.64

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Solution

The fourth proportional to 13,021.76, 17,930.40 and 10,360.64 is: 14,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.76 : 17,930.40 = 10,360.64 : x
  2. Step 2: Convert to fraction form
    13,021.76/17,930.40 = 10,360.64/x
  3. Step 3: Cross multiply
    13,021.76x = 17,930.40 × 10,360.64
  4. Step 4: Simplify right side
    13,021.76x = 185,770,419.46
  5. Step 5: Solve for x
    x = 185,770,419.46/13,021.76
  6. Step 6: Final answer
    x = 14,266.15

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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.