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Finding the Fourth Proportional to 24,922.84, 34,385.92 and 14,166.90

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Solution

The fourth proportional to 24,922.84, 34,385.92 and 14,166.90 is: 19,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.84 : 34,385.92 = 14,166.90 : x
  2. Step 2: Convert to fraction form
    24,922.84/34,385.92 = 14,166.90/x
  3. Step 3: Cross multiply
    24,922.84x = 34,385.92 × 14,166.90
  4. Step 4: Simplify right side
    24,922.84x = 487,141,890.05
  5. Step 5: Solve for x
    x = 487,141,890.05/24,922.84
  6. Step 6: Final answer
    x = 19,546.00

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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.