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Finding the Fourth Proportional to 14,597.69, 20,102.38 and 12,682.62

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Solution

The fourth proportional to 14,597.69, 20,102.38 and 12,682.62 is: 17,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.69 : 20,102.38 = 12,682.62 : x
  2. Step 2: Convert to fraction form
    14,597.69/20,102.38 = 12,682.62/x
  3. Step 3: Cross multiply
    14,597.69x = 20,102.38 × 12,682.62
  4. Step 4: Simplify right side
    14,597.69x = 254,950,814.93
  5. Step 5: Solve for x
    x = 254,950,814.93/14,597.69
  6. Step 6: Final answer
    x = 17,465.15

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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.