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Finding the Fourth Proportional to 14,631.76, 20,191.87 and 7,917.46

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Solution

The fourth proportional to 14,631.76, 20,191.87 and 7,917.46 is: 10,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631.76 : 20,191.87 = 7,917.46 : x
  2. Step 2: Convert to fraction form
    14,631.76/20,191.87 = 7,917.46/x
  3. Step 3: Cross multiply
    14,631.76x = 20,191.87 × 7,917.46
  4. Step 4: Simplify right side
    14,631.76x = 159,868,282.47
  5. Step 5: Solve for x
    x = 159,868,282.47/14,631.76
  6. Step 6: Final answer
    x = 10,926.11

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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.