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Finding the Fourth Proportional to 19,842.16, 29,752.71 and 8,735.98

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Solution

The fourth proportional to 19,842.16, 29,752.71 and 8,735.98 is: 13,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.16 : 29,752.71 = 8,735.98 : x
  2. Step 2: Convert to fraction form
    19,842.16/29,752.71 = 8,735.98/x
  3. Step 3: Cross multiply
    19,842.16x = 29,752.71 × 8,735.98
  4. Step 4: Simplify right side
    19,842.16x = 259,919,079.51
  5. Step 5: Solve for x
    x = 259,919,079.51/19,842.16
  6. Step 6: Final answer
    x = 13,099.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.