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Finding the Fourth Proportional to 21,407.19, 29,553.79 and 12,911.46

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Solution

The fourth proportional to 21,407.19, 29,553.79 and 12,911.46 is: 17,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.19 : 29,553.79 = 12,911.46 : x
  2. Step 2: Convert to fraction form
    21,407.19/29,553.79 = 12,911.46/x
  3. Step 3: Cross multiply
    21,407.19x = 29,553.79 × 12,911.46
  4. Step 4: Simplify right side
    21,407.19x = 381,582,505.34
  5. Step 5: Solve for x
    x = 381,582,505.34/21,407.19
  6. Step 6: Final answer
    x = 17,824.97

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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.