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Finding the Fourth Proportional to 14,188.14, 21,274.81 and 5,296.15

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Solution

The fourth proportional to 14,188.14, 21,274.81 and 5,296.15 is: 7,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.14 : 21,274.81 = 5,296.15 : x
  2. Step 2: Convert to fraction form
    14,188.14/21,274.81 = 5,296.15/x
  3. Step 3: Cross multiply
    14,188.14x = 21,274.81 × 5,296.15
  4. Step 4: Simplify right side
    14,188.14x = 112,674,692.93
  5. Step 5: Solve for x
    x = 112,674,692.93/14,188.14
  6. Step 6: Final answer
    x = 7,941.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.