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Finding the Fourth Proportional to 14,545.76, 20,071.94 and 8,172

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Solution

The fourth proportional to 14,545.76, 20,071.94 and 8,172 is: 11,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.76 : 20,071.94 = 8,172 : x
  2. Step 2: Convert to fraction form
    14,545.76/20,071.94 = 8,172/x
  3. Step 3: Cross multiply
    14,545.76x = 20,071.94 × 8,172
  4. Step 4: Simplify right side
    14,545.76x = 164,027,914.11
  5. Step 5: Solve for x
    x = 164,027,914.11/14,545.76
  6. Step 6: Final answer
    x = 11,276.69

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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.