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Finding the Fourth Proportional to 12,921.46, 17,830.22 and 7,256.82

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Solution

The fourth proportional to 12,921.46, 17,830.22 and 7,256.82 is: 10,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.46 : 17,830.22 = 7,256.82 : x
  2. Step 2: Convert to fraction form
    12,921.46/17,830.22 = 7,256.82/x
  3. Step 3: Cross multiply
    12,921.46x = 17,830.22 × 7,256.82
  4. Step 4: Simplify right side
    12,921.46x = 129,390,697.10
  5. Step 5: Solve for x
    x = 129,390,697.10/12,921.46
  6. Step 6: Final answer
    x = 10,013.63

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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.