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Finding the Fourth Proportional to 16,941.84, 25,441.92 and 9,156.12

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Solution

The fourth proportional to 16,941.84, 25,441.92 and 9,156.12 is: 13,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,941.84 : 25,441.92 = 9,156.12 : x
  2. Step 2: Convert to fraction form
    16,941.84/25,441.92 = 9,156.12/x
  3. Step 3: Cross multiply
    16,941.84x = 25,441.92 × 9,156.12
  4. Step 4: Simplify right side
    16,941.84x = 232,949,272.55
  5. Step 5: Solve for x
    x = 232,949,272.55/16,941.84
  6. Step 6: Final answer
    x = 13,749.94

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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.