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Finding the Fourth Proportional to 14,165.85, 19,549.37 and 8,117.17

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Solution

The fourth proportional to 14,165.85, 19,549.37 and 8,117.17 is: 11,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.85 : 19,549.37 = 8,117.17 : x
  2. Step 2: Convert to fraction form
    14,165.85/19,549.37 = 8,117.17/x
  3. Step 3: Cross multiply
    14,165.85x = 19,549.37 × 8,117.17
  4. Step 4: Simplify right side
    14,165.85x = 158,685,559.68
  5. Step 5: Solve for x
    x = 158,685,559.68/14,165.85
  6. Step 6: Final answer
    x = 11,201.98

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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.