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Finding the Fourth Proportional to 23,185.87, 34,777.35 and 14,302.87

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Solution

The fourth proportional to 23,185.87, 34,777.35 and 14,302.87 is: 21,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.87 : 34,777.35 = 14,302.87 : x
  2. Step 2: Convert to fraction form
    23,185.87/34,777.35 = 14,302.87/x
  3. Step 3: Cross multiply
    23,185.87x = 34,777.35 × 14,302.87
  4. Step 4: Simplify right side
    23,185.87x = 497,415,829.05
  5. Step 5: Solve for x
    x = 497,415,829.05/23,185.87
  6. Step 6: Final answer
    x = 21,453.41

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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.