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Finding the Fourth Proportional to 14,382.73, 19,841.76 and 8,411.77

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Solution

The fourth proportional to 14,382.73, 19,841.76 and 8,411.77 is: 11,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.73 : 19,841.76 = 8,411.77 : x
  2. Step 2: Convert to fraction form
    14,382.73/19,841.76 = 8,411.77/x
  3. Step 3: Cross multiply
    14,382.73x = 19,841.76 × 8,411.77
  4. Step 4: Simplify right side
    14,382.73x = 166,904,321.52
  5. Step 5: Solve for x
    x = 166,904,321.52/14,382.73
  6. Step 6: Final answer
    x = 11,604.50

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1.5x scale

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.