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Finding the Fourth Proportional to 19,180.72, 28,752.49 and 9,825.16

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Solution

The fourth proportional to 19,180.72, 28,752.49 and 9,825.16 is: 14,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,180.72 : 28,752.49 = 9,825.16 : x
  2. Step 2: Convert to fraction form
    19,180.72/28,752.49 = 9,825.16/x
  3. Step 3: Cross multiply
    19,180.72x = 28,752.49 × 9,825.16
  4. Step 4: Simplify right side
    19,180.72x = 282,497,814.65
  5. Step 5: Solve for x
    x = 282,497,814.65/19,180.72
  6. Step 6: Final answer
    x = 14,728.22

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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.