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Finding the Fourth Proportional to 24,809.70, 37,218.65 and 11,496

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Solution

The fourth proportional to 24,809.70, 37,218.65 and 11,496 is: 17,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.70 : 37,218.65 = 11,496 : x
  2. Step 2: Convert to fraction form
    24,809.70/37,218.65 = 11,496/x
  3. Step 3: Cross multiply
    24,809.70x = 37,218.65 × 11,496
  4. Step 4: Simplify right side
    24,809.70x = 427,865,600.40
  5. Step 5: Solve for x
    x = 427,865,600.40/24,809.70
  6. Step 6: Final answer
    x = 17,245.90

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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.