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Finding the Fourth Proportional to 23,833.49, 32,891.10 and 14,400.23

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Solution

The fourth proportional to 23,833.49, 32,891.10 and 14,400.23 is: 19,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.49 : 32,891.10 = 14,400.23 : x
  2. Step 2: Convert to fraction form
    23,833.49/32,891.10 = 14,400.23/x
  3. Step 3: Cross multiply
    23,833.49x = 32,891.10 × 14,400.23
  4. Step 4: Simplify right side
    23,833.49x = 473,639,332.95
  5. Step 5: Solve for x
    x = 473,639,332.95/23,833.49
  6. Step 6: Final answer
    x = 19,872.85

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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.