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Finding the Fourth Proportional to 19,709.65, 29,563.64 and 9,176.05

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Solution

The fourth proportional to 19,709.65, 29,563.64 and 9,176.05 is: 13,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.65 : 29,563.64 = 9,176.05 : x
  2. Step 2: Convert to fraction form
    19,709.65/29,563.64 = 9,176.05/x
  3. Step 3: Cross multiply
    19,709.65x = 29,563.64 × 9,176.05
  4. Step 4: Simplify right side
    19,709.65x = 271,277,438.82
  5. Step 5: Solve for x
    x = 271,277,438.82/19,709.65
  6. Step 6: Final answer
    x = 13,763.69

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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.