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Finding the Fourth Proportional to 21,802.62, 30,096.76 and 14,738.61

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Solution

The fourth proportional to 21,802.62, 30,096.76 and 14,738.61 is: 20,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.62 : 30,096.76 = 14,738.61 : x
  2. Step 2: Convert to fraction form
    21,802.62/30,096.76 = 14,738.61/x
  3. Step 3: Cross multiply
    21,802.62x = 30,096.76 × 14,738.61
  4. Step 4: Simplify right side
    21,802.62x = 443,584,371.06
  5. Step 5: Solve for x
    x = 443,584,371.06/21,802.62
  6. Step 6: Final answer
    x = 20,345.46

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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.