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Finding the Fourth Proportional to 19,507.65, 29,247.49 and 8,263.74

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Solution

The fourth proportional to 19,507.65, 29,247.49 and 8,263.74 is: 12,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.65 : 29,247.49 = 8,263.74 : x
  2. Step 2: Convert to fraction form
    19,507.65/29,247.49 = 8,263.74/x
  3. Step 3: Cross multiply
    19,507.65x = 29,247.49 × 8,263.74
  4. Step 4: Simplify right side
    19,507.65x = 241,693,653.01
  5. Step 5: Solve for x
    x = 241,693,653.01/19,507.65
  6. Step 6: Final answer
    x = 12,389.69

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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.