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Finding the Fourth Proportional to 26,493.92, 36,562.16 and 14,558

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Solution

The fourth proportional to 26,493.92, 36,562.16 and 14,558 is: 20,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,493.92 : 36,562.16 = 14,558 : x
  2. Step 2: Convert to fraction form
    26,493.92/36,562.16 = 14,558/x
  3. Step 3: Cross multiply
    26,493.92x = 36,562.16 × 14,558
  4. Step 4: Simplify right side
    26,493.92x = 532,271,925.28
  5. Step 5: Solve for x
    x = 532,271,925.28/26,493.92
  6. Step 6: Final answer
    x = 20,090.34

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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.