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Finding the Fourth Proportional to 26,565.21, 36,658.71 and 14,629.05

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Solution

The fourth proportional to 26,565.21, 36,658.71 and 14,629.05 is: 20,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,565.21 : 36,658.71 = 14,629.05 : x
  2. Step 2: Convert to fraction form
    26,565.21/36,658.71 = 14,629.05/x
  3. Step 3: Cross multiply
    26,565.21x = 36,658.71 × 14,629.05
  4. Step 4: Simplify right side
    26,565.21x = 536,282,101.53
  5. Step 5: Solve for x
    x = 536,282,101.53/26,565.21
  6. Step 6: Final answer
    x = 20,187.38

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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.