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Finding the Fourth Proportional to 14,393, 19,862.40 and 8,105.48

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Solution

The fourth proportional to 14,393, 19,862.40 and 8,105.48 is: 11,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393 : 19,862.40 = 8,105.48 : x
  2. Step 2: Convert to fraction form
    14,393/19,862.40 = 8,105.48/x
  3. Step 3: Cross multiply
    14,393x = 19,862.40 × 8,105.48
  4. Step 4: Simplify right side
    14,393x = 160,994,285.95
  5. Step 5: Solve for x
    x = 160,994,285.95/14,393
  6. Step 6: Final answer
    x = 11,185.60

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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.