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Finding the Fourth Proportional to 14,182.96, 19,572.46 and 8,214.92

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Solution

The fourth proportional to 14,182.96, 19,572.46 and 8,214.92 is: 11,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.96 : 19,572.46 = 8,214.92 : x
  2. Step 2: Convert to fraction form
    14,182.96/19,572.46 = 8,214.92/x
  3. Step 3: Cross multiply
    14,182.96x = 19,572.46 × 8,214.92
  4. Step 4: Simplify right side
    14,182.96x = 160,786,193.10
  5. Step 5: Solve for x
    x = 160,786,193.10/14,182.96
  6. Step 6: Final answer
    x = 11,336.58

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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.