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Finding the Fourth Proportional to 26,384.49, 36,411 and 14,448.96

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Solution

The fourth proportional to 26,384.49, 36,411 and 14,448.96 is: 19,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384.49 : 36,411 = 14,448.96 : x
  2. Step 2: Convert to fraction form
    26,384.49/36,411 = 14,448.96/x
  3. Step 3: Cross multiply
    26,384.49x = 36,411 × 14,448.96
  4. Step 4: Simplify right side
    26,384.49x = 526,101,082.56
  5. Step 5: Solve for x
    x = 526,101,082.56/26,384.49
  6. Step 6: Final answer
    x = 19,939.79

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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.