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Finding the Fourth Proportional to 19,758.09, 29,637.16 and 8,071.31

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Solution

The fourth proportional to 19,758.09, 29,637.16 and 8,071.31 is: 12,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.09 : 29,637.16 = 8,071.31 : x
  2. Step 2: Convert to fraction form
    19,758.09/29,637.16 = 8,071.31/x
  3. Step 3: Cross multiply
    19,758.09x = 29,637.16 × 8,071.31
  4. Step 4: Simplify right side
    19,758.09x = 239,210,759.79
  5. Step 5: Solve for x
    x = 239,210,759.79/19,758.09
  6. Step 6: Final answer
    x = 12,106.98

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