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Finding the Fourth Proportional to 15,934.79, 23,902.18 and 7,589.50

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Solution

The fourth proportional to 15,934.79, 23,902.18 and 7,589.50 is: 11,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,934.79 : 23,902.18 = 7,589.50 : x
  2. Step 2: Convert to fraction form
    15,934.79/23,902.18 = 7,589.50/x
  3. Step 3: Cross multiply
    15,934.79x = 23,902.18 × 7,589.50
  4. Step 4: Simplify right side
    15,934.79x = 181,405,516.38
  5. Step 5: Solve for x
    x = 181,405,516.38/15,934.79
  6. Step 6: Final answer
    x = 11,384.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.