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Finding the Fourth Proportional to 23,294, 34,960.44 and 10,982

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Solution

The fourth proportional to 23,294, 34,960.44 and 10,982 is: 16,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294 : 34,960.44 = 10,982 : x
  2. Step 2: Convert to fraction form
    23,294/34,960.44 = 10,982/x
  3. Step 3: Cross multiply
    23,294x = 34,960.44 × 10,982
  4. Step 4: Simplify right side
    23,294x = 383,935,552.08
  5. Step 5: Solve for x
    x = 383,935,552.08/23,294
  6. Step 6: Final answer
    x = 16,482.17

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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.