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Finding the Fourth Proportional to 14,142.66, 21,214.05 and 4,782.75

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Solution

The fourth proportional to 14,142.66, 21,214.05 and 4,782.75 is: 7,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.66 : 21,214.05 = 4,782.75 : x
  2. Step 2: Convert to fraction form
    14,142.66/21,214.05 = 4,782.75/x
  3. Step 3: Cross multiply
    14,142.66x = 21,214.05 × 4,782.75
  4. Step 4: Simplify right side
    14,142.66x = 101,461,497.64
  5. Step 5: Solve for x
    x = 101,461,497.64/14,142.66
  6. Step 6: Final answer
    x = 7,174.15

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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.