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Finding the Fourth Proportional to 21,285.17, 31,894.79 and 14,624.84

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Solution

The fourth proportional to 21,285.17, 31,894.79 and 14,624.84 is: 21,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285.17 : 31,894.79 = 14,624.84 : x
  2. Step 2: Convert to fraction form
    21,285.17/31,894.79 = 14,624.84/x
  3. Step 3: Cross multiply
    21,285.17x = 31,894.79 × 14,624.84
  4. Step 4: Simplify right side
    21,285.17x = 466,456,200.58
  5. Step 5: Solve for x
    x = 466,456,200.58/21,285.17
  6. Step 6: Final answer
    x = 21,914.61

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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.