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Finding the Fourth Proportional to 21,733.40, 29,999.22 and 12,780.47

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Solution

The fourth proportional to 21,733.40, 29,999.22 and 12,780.47 is: 17,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,733.40 : 29,999.22 = 12,780.47 : x
  2. Step 2: Convert to fraction form
    21,733.40/29,999.22 = 12,780.47/x
  3. Step 3: Cross multiply
    21,733.40x = 29,999.22 × 12,780.47
  4. Step 4: Simplify right side
    21,733.40x = 383,404,131.23
  5. Step 5: Solve for x
    x = 383,404,131.23/21,733.40
  6. Step 6: Final answer
    x = 17,641.24

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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.