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Finding the Fourth Proportional to 21,470.54, 29,629.64 and 12,971.48

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Solution

The fourth proportional to 21,470.54, 29,629.64 and 12,971.48 is: 17,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470.54 : 29,629.64 = 12,971.48 : x
  2. Step 2: Convert to fraction form
    21,470.54/29,629.64 = 12,971.48/x
  3. Step 3: Cross multiply
    21,470.54x = 29,629.64 × 12,971.48
  4. Step 4: Simplify right side
    21,470.54x = 384,340,069.66
  5. Step 5: Solve for x
    x = 384,340,069.66/21,470.54
  6. Step 6: Final answer
    x = 17,900.81

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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.