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Finding the Fourth Proportional to 14,201.12, 21,311.16 and 4,967.12

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Solution

The fourth proportional to 14,201.12, 21,311.16 and 4,967.12 is: 7,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.12 : 21,311.16 = 4,967.12 : x
  2. Step 2: Convert to fraction form
    14,201.12/21,311.16 = 4,967.12/x
  3. Step 3: Cross multiply
    14,201.12x = 21,311.16 × 4,967.12
  4. Step 4: Simplify right side
    14,201.12x = 105,855,089.06
  5. Step 5: Solve for x
    x = 105,855,089.06/14,201.12
  6. Step 6: Final answer
    x = 7,454.00

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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.