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Finding the Fourth Proportional to 12,920.67, 17,826.21 and 7,254.45

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Solution

The fourth proportional to 12,920.67, 17,826.21 and 7,254.45 is: 10,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.67 : 17,826.21 = 7,254.45 : x
  2. Step 2: Convert to fraction form
    12,920.67/17,826.21 = 7,254.45/x
  3. Step 3: Cross multiply
    12,920.67x = 17,826.21 × 7,254.45
  4. Step 4: Simplify right side
    12,920.67x = 129,319,349.13
  5. Step 5: Solve for x
    x = 129,319,349.13/12,920.67
  6. Step 6: Final answer
    x = 10,008.72

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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.