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Finding the Fourth Proportional to 14,383.91, 19,842.19 and 9,899.89

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Solution

The fourth proportional to 14,383.91, 19,842.19 and 9,899.89 is: 13,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.91 : 19,842.19 = 9,899.89 : x
  2. Step 2: Convert to fraction form
    14,383.91/19,842.19 = 9,899.89/x
  3. Step 3: Cross multiply
    14,383.91x = 19,842.19 × 9,899.89
  4. Step 4: Simplify right side
    14,383.91x = 196,435,424.00
  5. Step 5: Solve for x
    x = 196,435,424.00/14,383.91
  6. Step 6: Final answer
    x = 13,656.61

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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.