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Finding the Fourth Proportional to 23,473, 32,382.84 and 14,504.95

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Solution

The fourth proportional to 23,473, 32,382.84 and 14,504.95 is: 20,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473 : 32,382.84 = 14,504.95 : x
  2. Step 2: Convert to fraction form
    23,473/32,382.84 = 14,504.95/x
  3. Step 3: Cross multiply
    23,473x = 32,382.84 × 14,504.95
  4. Step 4: Simplify right side
    23,473x = 469,711,475.06
  5. Step 5: Solve for x
    x = 469,711,475.06/23,473
  6. Step 6: Final answer
    x = 20,010.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.