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Finding the Fourth Proportional to 14,215.12, 19,616 and 8,166.34

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Solution

The fourth proportional to 14,215.12, 19,616 and 8,166.34 is: 11,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215.12 : 19,616 = 8,166.34 : x
  2. Step 2: Convert to fraction form
    14,215.12/19,616 = 8,166.34/x
  3. Step 3: Cross multiply
    14,215.12x = 19,616 × 8,166.34
  4. Step 4: Simplify right side
    14,215.12x = 160,190,925.44
  5. Step 5: Solve for x
    x = 160,190,925.44/14,215.12
  6. Step 6: Final answer
    x = 11,269.05

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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.