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Finding the Fourth Proportional to 12,242.25, 16,894.32 and 6,653.25

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Solution

The fourth proportional to 12,242.25, 16,894.32 and 6,653.25 is: 9,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.25 : 16,894.32 = 6,653.25 : x
  2. Step 2: Convert to fraction form
    12,242.25/16,894.32 = 6,653.25/x
  3. Step 3: Cross multiply
    12,242.25x = 16,894.32 × 6,653.25
  4. Step 4: Simplify right side
    12,242.25x = 112,402,134.54
  5. Step 5: Solve for x
    x = 112,402,134.54/12,242.25
  6. Step 6: Final answer
    x = 9,181.49

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