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Finding the Fourth Proportional to 24,922.50, 34,354.71 and 16,409.94

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Solution

The fourth proportional to 24,922.50, 34,354.71 and 16,409.94 is: 22,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.50 : 34,354.71 = 16,409.94 : x
  2. Step 2: Convert to fraction form
    24,922.50/34,354.71 = 16,409.94/x
  3. Step 3: Cross multiply
    24,922.50x = 34,354.71 × 16,409.94
  4. Step 4: Simplify right side
    24,922.50x = 563,758,729.82
  5. Step 5: Solve for x
    x = 563,758,729.82/24,922.50
  6. Step 6: Final answer
    x = 22,620.47

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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.