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Finding the Fourth Proportional to 13,008.21, 17,951.16 and 7,265.76

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Solution

The fourth proportional to 13,008.21, 17,951.16 and 7,265.76 is: 10,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.21 : 17,951.16 = 7,265.76 : x
  2. Step 2: Convert to fraction form
    13,008.21/17,951.16 = 7,265.76/x
  3. Step 3: Cross multiply
    13,008.21x = 17,951.16 × 7,265.76
  4. Step 4: Simplify right side
    13,008.21x = 130,428,820.28
  5. Step 5: Solve for x
    x = 130,428,820.28/13,008.21
  6. Step 6: Final answer
    x = 10,026.65

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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.