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Finding the Fourth Proportional to 18,864.42, 26,034.45 and 12,164

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Solution

The fourth proportional to 18,864.42, 26,034.45 and 12,164 is: 16,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,864.42 : 26,034.45 = 12,164 : x
  2. Step 2: Convert to fraction form
    18,864.42/26,034.45 = 12,164/x
  3. Step 3: Cross multiply
    18,864.42x = 26,034.45 × 12,164
  4. Step 4: Simplify right side
    18,864.42x = 316,683,049.80
  5. Step 5: Solve for x
    x = 316,683,049.80/18,864.42
  6. Step 6: Final answer
    x = 16,787.32

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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.