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Finding the Fourth Proportional to 14,464.08, 21,696.92 and 4,604.16

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Solution

The fourth proportional to 14,464.08, 21,696.92 and 4,604.16 is: 6,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.08 : 21,696.92 = 4,604.16 : x
  2. Step 2: Convert to fraction form
    14,464.08/21,696.92 = 4,604.16/x
  3. Step 3: Cross multiply
    14,464.08x = 21,696.92 × 4,604.16
  4. Step 4: Simplify right side
    14,464.08x = 99,896,091.19
  5. Step 5: Solve for x
    x = 99,896,091.19/14,464.08
  6. Step 6: Final answer
    x = 6,906.49

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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.