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Finding the Fourth Proportional to 14,706.82, 20,296.32 and 8,419.06

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Solution

The fourth proportional to 14,706.82, 20,296.32 and 8,419.06 is: 11,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.82 : 20,296.32 = 8,419.06 : x
  2. Step 2: Convert to fraction form
    14,706.82/20,296.32 = 8,419.06/x
  3. Step 3: Cross multiply
    14,706.82x = 20,296.32 × 8,419.06
  4. Step 4: Simplify right side
    14,706.82x = 170,875,935.86
  5. Step 5: Solve for x
    x = 170,875,935.86/14,706.82
  6. Step 6: Final answer
    x = 11,618.82

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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.