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Finding the Fourth Proportional to 12,314.66, 16,988.42 and 8,956

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Solution

The fourth proportional to 12,314.66, 16,988.42 and 8,956 is: 12,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.66 : 16,988.42 = 8,956 : x
  2. Step 2: Convert to fraction form
    12,314.66/16,988.42 = 8,956/x
  3. Step 3: Cross multiply
    12,314.66x = 16,988.42 × 8,956
  4. Step 4: Simplify right side
    12,314.66x = 152,148,289.52
  5. Step 5: Solve for x
    x = 152,148,289.52/12,314.66
  6. Step 6: Final answer
    x = 12,355.05

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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.