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Finding the Fourth Proportional to 14,590.64, 20,128.20 and 10,610

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Solution

The fourth proportional to 14,590.64, 20,128.20 and 10,610 is: 14,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.64 : 20,128.20 = 10,610 : x
  2. Step 2: Convert to fraction form
    14,590.64/20,128.20 = 10,610/x
  3. Step 3: Cross multiply
    14,590.64x = 20,128.20 × 10,610
  4. Step 4: Simplify right side
    14,590.64x = 213,560,202
  5. Step 5: Solve for x
    x = 213,560,202/14,590.64
  6. Step 6: Final answer
    x = 14,636.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.