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Finding the Fourth Proportional to 23,874.24, 35,804.16 and 10,020.16

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Solution

The fourth proportional to 23,874.24, 35,804.16 and 10,020.16 is: 15,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.24 : 35,804.16 = 10,020.16 : x
  2. Step 2: Convert to fraction form
    23,874.24/35,804.16 = 10,020.16/x
  3. Step 3: Cross multiply
    23,874.24x = 35,804.16 × 10,020.16
  4. Step 4: Simplify right side
    23,874.24x = 358,763,411.87
  5. Step 5: Solve for x
    x = 358,763,411.87/23,874.24
  6. Step 6: Final answer
    x = 15,027.22

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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.