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Finding the Fourth Proportional to 19,674.72, 29,510.16 and 5,823.84

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Solution

The fourth proportional to 19,674.72, 29,510.16 and 5,823.84 is: 8,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.72 : 29,510.16 = 5,823.84 : x
  2. Step 2: Convert to fraction form
    19,674.72/29,510.16 = 5,823.84/x
  3. Step 3: Cross multiply
    19,674.72x = 29,510.16 × 5,823.84
  4. Step 4: Simplify right side
    19,674.72x = 171,862,450.21
  5. Step 5: Solve for x
    x = 171,862,450.21/19,674.72
  6. Step 6: Final answer
    x = 8,735.19

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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.