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Finding the Fourth Proportional to 12,261.76, 16,920.62 and 6,956.46

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Solution

The fourth proportional to 12,261.76, 16,920.62 and 6,956.46 is: 9,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.76 : 16,920.62 = 6,956.46 : x
  2. Step 2: Convert to fraction form
    12,261.76/16,920.62 = 6,956.46/x
  3. Step 3: Cross multiply
    12,261.76x = 16,920.62 × 6,956.46
  4. Step 4: Simplify right side
    12,261.76x = 117,707,616.21
  5. Step 5: Solve for x
    x = 117,707,616.21/12,261.76
  6. Step 6: Final answer
    x = 9,599.57

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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.