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Finding the Fourth Proportional to 14,311.54, 19,755.30 and 8,345.08

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Solution

The fourth proportional to 14,311.54, 19,755.30 and 8,345.08 is: 11,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.54 : 19,755.30 = 8,345.08 : x
  2. Step 2: Convert to fraction form
    14,311.54/19,755.30 = 8,345.08/x
  3. Step 3: Cross multiply
    14,311.54x = 19,755.30 × 8,345.08
  4. Step 4: Simplify right side
    14,311.54x = 164,859,558.92
  5. Step 5: Solve for x
    x = 164,859,558.92/14,311.54
  6. Step 6: Final answer
    x = 11,519.34

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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.