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Finding the Fourth Proportional to 21,208.92, 31,802.58 and 8,051.28

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Solution

The fourth proportional to 21,208.92, 31,802.58 and 8,051.28 is: 12,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.92 : 31,802.58 = 8,051.28 : x
  2. Step 2: Convert to fraction form
    21,208.92/31,802.58 = 8,051.28/x
  3. Step 3: Cross multiply
    21,208.92x = 31,802.58 × 8,051.28
  4. Step 4: Simplify right side
    21,208.92x = 256,051,476.30
  5. Step 5: Solve for x
    x = 256,051,476.30/21,208.92
  6. Step 6: Final answer
    x = 12,072.82

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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.