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Finding the Fourth Proportional to 21,496.25, 29,665.24 and 12,064.82

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Solution

The fourth proportional to 21,496.25, 29,665.24 and 12,064.82 is: 16,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.25 : 29,665.24 = 12,064.82 : x
  2. Step 2: Convert to fraction form
    21,496.25/29,665.24 = 12,064.82/x
  3. Step 3: Cross multiply
    21,496.25x = 29,665.24 × 12,064.82
  4. Step 4: Simplify right side
    21,496.25x = 357,905,602.37
  5. Step 5: Solve for x
    x = 357,905,602.37/21,496.25
  6. Step 6: Final answer
    x = 16,649.67

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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.