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Finding the Fourth Proportional to 14,191.14, 19,583.76 and 7,903.50

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Solution

The fourth proportional to 14,191.14, 19,583.76 and 7,903.50 is: 10,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.14 : 19,583.76 = 7,903.50 : x
  2. Step 2: Convert to fraction form
    14,191.14/19,583.76 = 7,903.50/x
  3. Step 3: Cross multiply
    14,191.14x = 19,583.76 × 7,903.50
  4. Step 4: Simplify right side
    14,191.14x = 154,780,247.16
  5. Step 5: Solve for x
    x = 154,780,247.16/14,191.14
  6. Step 6: Final answer
    x = 10,906.82

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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.