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Finding the Fourth Proportional to 15,837.28, 23,763.84 and 7,078.48

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Solution

The fourth proportional to 15,837.28, 23,763.84 and 7,078.48 is: 10,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.28 : 23,763.84 = 7,078.48 : x
  2. Step 2: Convert to fraction form
    15,837.28/23,763.84 = 7,078.48/x
  3. Step 3: Cross multiply
    15,837.28x = 23,763.84 × 7,078.48
  4. Step 4: Simplify right side
    15,837.28x = 168,211,866.16
  5. Step 5: Solve for x
    x = 168,211,866.16/15,837.28
  6. Step 6: Final answer
    x = 10,621.26

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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.