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Finding the Fourth Proportional to 21,782.52, 30,055.86 and 12,349.26

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Solution

The fourth proportional to 21,782.52, 30,055.86 and 12,349.26 is: 17,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.52 : 30,055.86 = 12,349.26 : x
  2. Step 2: Convert to fraction form
    21,782.52/30,055.86 = 12,349.26/x
  3. Step 3: Cross multiply
    21,782.52x = 30,055.86 × 12,349.26
  4. Step 4: Simplify right side
    21,782.52x = 371,167,629.66
  5. Step 5: Solve for x
    x = 371,167,629.66/21,782.52
  6. Step 6: Final answer
    x = 17,039.70

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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.