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Finding the Fourth Proportional to 12,274.20, 16,931.16 and 8,685.12

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Solution

The fourth proportional to 12,274.20, 16,931.16 and 8,685.12 is: 11,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.20 : 16,931.16 = 8,685.12 : x
  2. Step 2: Convert to fraction form
    12,274.20/16,931.16 = 8,685.12/x
  3. Step 3: Cross multiply
    12,274.20x = 16,931.16 × 8,685.12
  4. Step 4: Simplify right side
    12,274.20x = 147,049,156.34
  5. Step 5: Solve for x
    x = 147,049,156.34/12,274.20
  6. Step 6: Final answer
    x = 11,980.35

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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.