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Finding the Fourth Proportional to 26,416.50, 36,455.68 and 14,479.82

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Solution

The fourth proportional to 26,416.50, 36,455.68 and 14,479.82 is: 19,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416.50 : 36,455.68 = 14,479.82 : x
  2. Step 2: Convert to fraction form
    26,416.50/36,455.68 = 14,479.82/x
  3. Step 3: Cross multiply
    26,416.50x = 36,455.68 × 14,479.82
  4. Step 4: Simplify right side
    26,416.50x = 527,871,684.38
  5. Step 5: Solve for x
    x = 527,871,684.38/26,416.50
  6. Step 6: Final answer
    x = 19,982.65

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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.