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Finding the Fourth Proportional to 21,802.83, 30,097.07 and 14,738.82

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Solution

The fourth proportional to 21,802.83, 30,097.07 and 14,738.82 is: 20,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.83 : 30,097.07 = 14,738.82 : x
  2. Step 2: Convert to fraction form
    21,802.83/30,097.07 = 14,738.82/x
  3. Step 3: Cross multiply
    21,802.83x = 30,097.07 × 14,738.82
  4. Step 4: Simplify right side
    21,802.83x = 443,595,223.56
  5. Step 5: Solve for x
    x = 443,595,223.56/21,802.83
  6. Step 6: Final answer
    x = 20,345.76

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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.