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Finding the Fourth Proportional to 17,957.70, 26,934.53 and 6,864.14

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Solution

The fourth proportional to 17,957.70, 26,934.53 and 6,864.14 is: 10,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.70 : 26,934.53 = 6,864.14 : x
  2. Step 2: Convert to fraction form
    17,957.70/26,934.53 = 6,864.14/x
  3. Step 3: Cross multiply
    17,957.70x = 26,934.53 × 6,864.14
  4. Step 4: Simplify right side
    17,957.70x = 184,882,417.77
  5. Step 5: Solve for x
    x = 184,882,417.77/17,957.70
  6. Step 6: Final answer
    x = 10,295.44

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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.