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Finding the Fourth Proportional to 21,707.82, 29,981.39 and 14,621.94

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Solution

The fourth proportional to 21,707.82, 29,981.39 and 14,621.94 is: 20,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.82 : 29,981.39 = 14,621.94 : x
  2. Step 2: Convert to fraction form
    21,707.82/29,981.39 = 14,621.94/x
  3. Step 3: Cross multiply
    21,707.82x = 29,981.39 × 14,621.94
  4. Step 4: Simplify right side
    21,707.82x = 438,386,012.59
  5. Step 5: Solve for x
    x = 438,386,012.59/21,707.82
  6. Step 6: Final answer
    x = 20,194.84

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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.