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Finding the Fourth Proportional to 19,754, 29,631.04 and 5,162

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Solution

The fourth proportional to 19,754, 29,631.04 and 5,162 is: 7,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754 : 29,631.04 = 5,162 : x
  2. Step 2: Convert to fraction form
    19,754/29,631.04 = 5,162/x
  3. Step 3: Cross multiply
    19,754x = 29,631.04 × 5,162
  4. Step 4: Simplify right side
    19,754x = 152,955,428.48
  5. Step 5: Solve for x
    x = 152,955,428.48/19,754
  6. Step 6: Final answer
    x = 7,743.01

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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.