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Finding the Fourth Proportional to 13,997.95, 20,894.50 and 12,337.24

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Solution

The fourth proportional to 13,997.95, 20,894.50 and 12,337.24 is: 18,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.95 : 20,894.50 = 12,337.24 : x
  2. Step 2: Convert to fraction form
    13,997.95/20,894.50 = 12,337.24/x
  3. Step 3: Cross multiply
    13,997.95x = 20,894.50 × 12,337.24
  4. Step 4: Simplify right side
    13,997.95x = 257,780,461.18
  5. Step 5: Solve for x
    x = 257,780,461.18/13,997.95
  6. Step 6: Final answer
    x = 18,415.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.