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Finding the Fourth Proportional to 14,382.03, 19,843.32 and 8,415.16

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Solution

The fourth proportional to 14,382.03, 19,843.32 and 8,415.16 is: 11,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.03 : 19,843.32 = 8,415.16 : x
  2. Step 2: Convert to fraction form
    14,382.03/19,843.32 = 8,415.16/x
  3. Step 3: Cross multiply
    14,382.03x = 19,843.32 × 8,415.16
  4. Step 4: Simplify right side
    14,382.03x = 166,984,712.73
  5. Step 5: Solve for x
    x = 166,984,712.73/14,382.03
  6. Step 6: Final answer
    x = 11,610.65

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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.