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Finding the Fourth Proportional to 15,818.16, 23,735.70 and 10,270.20

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Solution

The fourth proportional to 15,818.16, 23,735.70 and 10,270.20 is: 15,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,818.16 : 23,735.70 = 10,270.20 : x
  2. Step 2: Convert to fraction form
    15,818.16/23,735.70 = 10,270.20/x
  3. Step 3: Cross multiply
    15,818.16x = 23,735.70 × 10,270.20
  4. Step 4: Simplify right side
    15,818.16x = 243,770,386.14
  5. Step 5: Solve for x
    x = 243,770,386.14/15,818.16
  6. Step 6: Final answer
    x = 15,410.79

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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.