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Finding the Fourth Proportional to 26,582.64, 36,685.72 and 14,645.98

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Solution

The fourth proportional to 26,582.64, 36,685.72 and 14,645.98 is: 20,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,582.64 : 36,685.72 = 14,645.98 : x
  2. Step 2: Convert to fraction form
    26,582.64/36,685.72 = 14,645.98/x
  3. Step 3: Cross multiply
    26,582.64x = 36,685.72 × 14,645.98
  4. Step 4: Simplify right side
    26,582.64x = 537,298,321.41
  5. Step 5: Solve for x
    x = 537,298,321.41/26,582.64
  6. Step 6: Final answer
    x = 20,212.38

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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.