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Finding the Fourth Proportional to 14,381.73, 19,840.38 and 8,410.77

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Solution

The fourth proportional to 14,381.73, 19,840.38 and 8,410.77 is: 11,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.73 : 19,840.38 = 8,410.77 : x
  2. Step 2: Convert to fraction form
    14,381.73/19,840.38 = 8,410.77/x
  3. Step 3: Cross multiply
    14,381.73x = 19,840.38 × 8,410.77
  4. Step 4: Simplify right side
    14,381.73x = 166,872,872.89
  5. Step 5: Solve for x
    x = 166,872,872.89/14,381.73
  6. Step 6: Final answer
    x = 11,603.12

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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.