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Finding the Fourth Proportional to 14,187.16, 21,266.84 and 5,296

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Solution

The fourth proportional to 14,187.16, 21,266.84 and 5,296 is: 7,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.16 : 21,266.84 = 5,296 : x
  2. Step 2: Convert to fraction form
    14,187.16/21,266.84 = 5,296/x
  3. Step 3: Cross multiply
    14,187.16x = 21,266.84 × 5,296
  4. Step 4: Simplify right side
    14,187.16x = 112,629,184.64
  5. Step 5: Solve for x
    x = 112,629,184.64/14,187.16
  6. Step 6: Final answer
    x = 7,938.81

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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.