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Finding the Fourth Proportional to 14,140.34, 19,508.08 and 8,170.92

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Solution

The fourth proportional to 14,140.34, 19,508.08 and 8,170.92 is: 11,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.34 : 19,508.08 = 8,170.92 : x
  2. Step 2: Convert to fraction form
    14,140.34/19,508.08 = 8,170.92/x
  3. Step 3: Cross multiply
    14,140.34x = 19,508.08 × 8,170.92
  4. Step 4: Simplify right side
    14,140.34x = 159,398,961.03
  5. Step 5: Solve for x
    x = 159,398,961.03/14,140.34
  6. Step 6: Final answer
    x = 11,272.64

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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.