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Finding the Fourth Proportional to 21,470.94, 29,629.19 and 12,971.58

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Solution

The fourth proportional to 21,470.94, 29,629.19 and 12,971.58 is: 17,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470.94 : 29,629.19 = 12,971.58 : x
  2. Step 2: Convert to fraction form
    21,470.94/29,629.19 = 12,971.58/x
  3. Step 3: Cross multiply
    21,470.94x = 29,629.19 × 12,971.58
  4. Step 4: Simplify right side
    21,470.94x = 384,337,343.56
  5. Step 5: Solve for x
    x = 384,337,343.56/21,470.94
  6. Step 6: Final answer
    x = 17,900.35

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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.