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Finding the Fourth Proportional to 14,382.14, 19,845.62 and 8,007.14

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Solution

The fourth proportional to 14,382.14, 19,845.62 and 8,007.14 is: 11,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.14 : 19,845.62 = 8,007.14 : x
  2. Step 2: Convert to fraction form
    14,382.14/19,845.62 = 8,007.14/x
  3. Step 3: Cross multiply
    14,382.14x = 19,845.62 × 8,007.14
  4. Step 4: Simplify right side
    14,382.14x = 158,906,630.74
  5. Step 5: Solve for x
    x = 158,906,630.74/14,382.14
  6. Step 6: Final answer
    x = 11,048.89

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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.