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Finding the Fourth Proportional to 23,870.24, 35,798.16 and 10,016.16

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Solution

The fourth proportional to 23,870.24, 35,798.16 and 10,016.16 is: 15,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.24 : 35,798.16 = 10,016.16 : x
  2. Step 2: Convert to fraction form
    23,870.24/35,798.16 = 10,016.16/x
  3. Step 3: Cross multiply
    23,870.24x = 35,798.16 × 10,016.16
  4. Step 4: Simplify right side
    23,870.24x = 358,560,098.27
  5. Step 5: Solve for x
    x = 358,560,098.27/23,870.24
  6. Step 6: Final answer
    x = 15,021.22

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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.