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Finding the Fourth Proportional to 23,872.16, 35,805 and 7,004.72

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Solution

The fourth proportional to 23,872.16, 35,805 and 7,004.72 is: 10,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.16 : 35,805 = 7,004.72 : x
  2. Step 2: Convert to fraction form
    23,872.16/35,805 = 7,004.72/x
  3. Step 3: Cross multiply
    23,872.16x = 35,805 × 7,004.72
  4. Step 4: Simplify right side
    23,872.16x = 250,803,999.60
  5. Step 5: Solve for x
    x = 250,803,999.60/23,872.16
  6. Step 6: Final answer
    x = 10,506.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.