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Finding the Fourth Proportional to 26,383.84, 36,409.70 and 14,447.94

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Solution

The fourth proportional to 26,383.84, 36,409.70 and 14,447.94 is: 19,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,383.84 : 36,409.70 = 14,447.94 : x
  2. Step 2: Convert to fraction form
    26,383.84/36,409.70 = 14,447.94/x
  3. Step 3: Cross multiply
    26,383.84x = 36,409.70 × 14,447.94
  4. Step 4: Simplify right side
    26,383.84x = 526,045,161.02
  5. Step 5: Solve for x
    x = 526,045,161.02/26,383.84
  6. Step 6: Final answer
    x = 19,938.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.