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Finding the Fourth Proportional to 23,857.65, 35,798.78 and 9,828.04

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Solution

The fourth proportional to 23,857.65, 35,798.78 and 9,828.04 is: 14,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.65 : 35,798.78 = 9,828.04 : x
  2. Step 2: Convert to fraction form
    23,857.65/35,798.78 = 9,828.04/x
  3. Step 3: Cross multiply
    23,857.65x = 35,798.78 × 9,828.04
  4. Step 4: Simplify right side
    23,857.65x = 351,831,882.15
  5. Step 5: Solve for x
    x = 351,831,882.15/23,857.65
  6. Step 6: Final answer
    x = 14,747.13

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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.