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Finding the Fourth Proportional to 17,984, 24,819.77 and 10,816.27

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Solution

The fourth proportional to 17,984, 24,819.77 and 10,816.27 is: 14,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984 : 24,819.77 = 10,816.27 : x
  2. Step 2: Convert to fraction form
    17,984/24,819.77 = 10,816.27/x
  3. Step 3: Cross multiply
    17,984x = 24,819.77 × 10,816.27
  4. Step 4: Simplify right side
    17,984x = 268,457,333.66
  5. Step 5: Solve for x
    x = 268,457,333.66/17,984
  6. Step 6: Final answer
    x = 14,927.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.