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Finding the Fourth Proportional to 21,050.78, 31,573.65 and 16,375.46

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Solution

The fourth proportional to 21,050.78, 31,573.65 and 16,375.46 is: 24,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,050.78 : 31,573.65 = 16,375.46 : x
  2. Step 2: Convert to fraction form
    21,050.78/31,573.65 = 16,375.46/x
  3. Step 3: Cross multiply
    21,050.78x = 31,573.65 × 16,375.46
  4. Step 4: Simplify right side
    21,050.78x = 517,033,042.63
  5. Step 5: Solve for x
    x = 517,033,042.63/21,050.78
  6. Step 6: Final answer
    x = 24,561.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.