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Finding the Fourth Proportional to 12,612.08, 17,402.52 and 7,022

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Solution

The fourth proportional to 12,612.08, 17,402.52 and 7,022 is: 9,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.08 : 17,402.52 = 7,022 : x
  2. Step 2: Convert to fraction form
    12,612.08/17,402.52 = 7,022/x
  3. Step 3: Cross multiply
    12,612.08x = 17,402.52 × 7,022
  4. Step 4: Simplify right side
    12,612.08x = 122,200,495.44
  5. Step 5: Solve for x
    x = 122,200,495.44/12,612.08
  6. Step 6: Final answer
    x = 9,689.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.