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Finding the Fourth Proportional to 14,661.92, 21,992.16 and 4,805.84

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Solution

The fourth proportional to 14,661.92, 21,992.16 and 4,805.84 is: 7,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.92 : 21,992.16 = 4,805.84 : x
  2. Step 2: Convert to fraction form
    14,661.92/21,992.16 = 4,805.84/x
  3. Step 3: Cross multiply
    14,661.92x = 21,992.16 × 4,805.84
  4. Step 4: Simplify right side
    14,661.92x = 105,690,802.21
  5. Step 5: Solve for x
    x = 105,690,802.21/14,661.92
  6. Step 6: Final answer
    x = 7,208.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.