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Finding the Fourth Proportional to 12,242.31, 16,894.40 and 6,653.31

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Solution

The fourth proportional to 12,242.31, 16,894.40 and 6,653.31 is: 9,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.31 : 16,894.40 = 6,653.31 : x
  2. Step 2: Convert to fraction form
    12,242.31/16,894.40 = 6,653.31/x
  3. Step 3: Cross multiply
    12,242.31x = 16,894.40 × 6,653.31
  4. Step 4: Simplify right side
    12,242.31x = 112,403,647.20
  5. Step 5: Solve for x
    x = 112,403,647.20/12,242.31
  6. Step 6: Final answer
    x = 9,181.57

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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.