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Finding the Fourth Proportional to 16,824.40, 25,237.48 and 7,462.24

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Solution

The fourth proportional to 16,824.40, 25,237.48 and 7,462.24 is: 11,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.40 : 25,237.48 = 7,462.24 : x
  2. Step 2: Convert to fraction form
    16,824.40/25,237.48 = 7,462.24/x
  3. Step 3: Cross multiply
    16,824.40x = 25,237.48 × 7,462.24
  4. Step 4: Simplify right side
    16,824.40x = 188,328,132.76
  5. Step 5: Solve for x
    x = 188,328,132.76/16,824.40
  6. Step 6: Final answer
    x = 11,193.75

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1.5x scale

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.