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Finding the Fourth Proportional to 21,802.29, 30,097.08 and 16,764.72

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Solution

The fourth proportional to 21,802.29, 30,097.08 and 16,764.72 is: 23,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.29 : 30,097.08 = 16,764.72 : x
  2. Step 2: Convert to fraction form
    21,802.29/30,097.08 = 16,764.72/x
  3. Step 3: Cross multiply
    21,802.29x = 30,097.08 × 16,764.72
  4. Step 4: Simplify right side
    21,802.29x = 504,569,119.02
  5. Step 5: Solve for x
    x = 504,569,119.02/21,802.29
  6. Step 6: Final answer
    x = 23,142.94

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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.