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Finding the Fourth Proportional to 26,447.84, 36,500.38 and 14,513.50

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Solution

The fourth proportional to 26,447.84, 36,500.38 and 14,513.50 is: 20,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,447.84 : 36,500.38 = 14,513.50 : x
  2. Step 2: Convert to fraction form
    26,447.84/36,500.38 = 14,513.50/x
  3. Step 3: Cross multiply
    26,447.84x = 36,500.38 × 14,513.50
  4. Step 4: Simplify right side
    26,447.84x = 529,748,137.60
  5. Step 5: Solve for x
    x = 529,748,137.60/26,447.84
  6. Step 6: Final answer
    x = 20,029.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.