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Finding the Fourth Proportional to 19,786.14, 29,669.64 and 7,312.04

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Solution

The fourth proportional to 19,786.14, 29,669.64 and 7,312.04 is: 10,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,786.14 : 29,669.64 = 7,312.04 : x
  2. Step 2: Convert to fraction form
    19,786.14/29,669.64 = 7,312.04/x
  3. Step 3: Cross multiply
    19,786.14x = 29,669.64 × 7,312.04
  4. Step 4: Simplify right side
    19,786.14x = 216,945,594.47
  5. Step 5: Solve for x
    x = 216,945,594.47/19,786.14
  6. Step 6: Final answer
    x = 10,964.52

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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.