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Finding the Fourth Proportional to 14,642.24, 21,964.17 and 4,782.11

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Solution

The fourth proportional to 14,642.24, 21,964.17 and 4,782.11 is: 7,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.24 : 21,964.17 = 4,782.11 : x
  2. Step 2: Convert to fraction form
    14,642.24/21,964.17 = 4,782.11/x
  3. Step 3: Cross multiply
    14,642.24x = 21,964.17 × 4,782.11
  4. Step 4: Simplify right side
    14,642.24x = 105,035,077.00
  5. Step 5: Solve for x
    x = 105,035,077.00/14,642.24
  6. Step 6: Final answer
    x = 7,173.43

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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.