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Finding the Fourth Proportional to 16,825, 25,240.74 and 7,591

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Solution

The fourth proportional to 16,825, 25,240.74 and 7,591 is: 11,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825 : 25,240.74 = 7,591 : x
  2. Step 2: Convert to fraction form
    16,825/25,240.74 = 7,591/x
  3. Step 3: Cross multiply
    16,825x = 25,240.74 × 7,591
  4. Step 4: Simplify right side
    16,825x = 191,602,457.34
  5. Step 5: Solve for x
    x = 191,602,457.34/16,825
  6. Step 6: Final answer
    x = 11,387.96

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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.