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Finding the Fourth Proportional to 21,716.91, 29,970 and 12,762.77

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Solution

The fourth proportional to 21,716.91, 29,970 and 12,762.77 is: 17,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.91 : 29,970 = 12,762.77 : x
  2. Step 2: Convert to fraction form
    21,716.91/29,970 = 12,762.77/x
  3. Step 3: Cross multiply
    21,716.91x = 29,970 × 12,762.77
  4. Step 4: Simplify right side
    21,716.91x = 382,500,067.05
  5. Step 5: Solve for x
    x = 382,500,067.05/21,716.91
  6. Step 6: Final answer
    x = 17,613.01

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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.