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Finding the Fourth Proportional to 25,516.16, 38,269.92 and 7,048.16

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Solution

The fourth proportional to 25,516.16, 38,269.92 and 7,048.16 is: 10,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516.16 : 38,269.92 = 7,048.16 : x
  2. Step 2: Convert to fraction form
    25,516.16/38,269.92 = 7,048.16/x
  3. Step 3: Cross multiply
    25,516.16x = 38,269.92 × 7,048.16
  4. Step 4: Simplify right side
    25,516.16x = 269,732,519.35
  5. Step 5: Solve for x
    x = 269,732,519.35/25,516.16
  6. Step 6: Final answer
    x = 10,571.05

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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.