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Finding the Fourth Proportional to 12,420.96, 17,139.84 and 7,115.52

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Solution

The fourth proportional to 12,420.96, 17,139.84 and 7,115.52 is: 9,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.96 : 17,139.84 = 7,115.52 : x
  2. Step 2: Convert to fraction form
    12,420.96/17,139.84 = 7,115.52/x
  3. Step 3: Cross multiply
    12,420.96x = 17,139.84 × 7,115.52
  4. Step 4: Simplify right side
    12,420.96x = 121,958,874.32
  5. Step 5: Solve for x
    x = 121,958,874.32/12,420.96
  6. Step 6: Final answer
    x = 9,818.80

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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.