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Finding the Fourth Proportional to 26,384.56, 36,410.76 and 14,447.98

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Solution

The fourth proportional to 26,384.56, 36,410.76 and 14,447.98 is: 19,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384.56 : 36,410.76 = 14,447.98 : x
  2. Step 2: Convert to fraction form
    26,384.56/36,410.76 = 14,447.98/x
  3. Step 3: Cross multiply
    26,384.56x = 36,410.76 × 14,447.98
  4. Step 4: Simplify right side
    26,384.56x = 526,061,932.26
  5. Step 5: Solve for x
    x = 526,061,932.26/26,384.56
  6. Step 6: Final answer
    x = 19,938.25

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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.