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Finding the Fourth Proportional to 21,211, 29,298.76 and 16,144.48

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Solution

The fourth proportional to 21,211, 29,298.76 and 16,144.48 is: 22,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211 : 29,298.76 = 16,144.48 : x
  2. Step 2: Convert to fraction form
    21,211/29,298.76 = 16,144.48/x
  3. Step 3: Cross multiply
    21,211x = 29,298.76 × 16,144.48
  4. Step 4: Simplify right side
    21,211x = 473,013,244.84
  5. Step 5: Solve for x
    x = 473,013,244.84/21,211
  6. Step 6: Final answer
    x = 22,300.37

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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.