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Finding the Fourth Proportional to 12,992.64, 17,929.89 and 7,690.02

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Solution

The fourth proportional to 12,992.64, 17,929.89 and 7,690.02 is: 10,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.64 : 17,929.89 = 7,690.02 : x
  2. Step 2: Convert to fraction form
    12,992.64/17,929.89 = 7,690.02/x
  3. Step 3: Cross multiply
    12,992.64x = 17,929.89 × 7,690.02
  4. Step 4: Simplify right side
    12,992.64x = 137,881,212.70
  5. Step 5: Solve for x
    x = 137,881,212.70/12,992.64
  6. Step 6: Final answer
    x = 10,612.26

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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.