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Finding the Fourth Proportional to 16,411.90, 24,489.73 and 14,644.74

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Solution

The fourth proportional to 16,411.90, 24,489.73 and 14,644.74 is: 21,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.90 : 24,489.73 = 14,644.74 : x
  2. Step 2: Convert to fraction form
    16,411.90/24,489.73 = 14,644.74/x
  3. Step 3: Cross multiply
    16,411.90x = 24,489.73 × 14,644.74
  4. Step 4: Simplify right side
    16,411.90x = 358,645,728.52
  5. Step 5: Solve for x
    x = 358,645,728.52/16,411.90
  6. Step 6: Final answer
    x = 21,852.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.