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Finding the Fourth Proportional to 14,463.24, 19,943.52 and 9,418.20

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Solution

The fourth proportional to 14,463.24, 19,943.52 and 9,418.20 is: 12,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.24 : 19,943.52 = 9,418.20 : x
  2. Step 2: Convert to fraction form
    14,463.24/19,943.52 = 9,418.20/x
  3. Step 3: Cross multiply
    14,463.24x = 19,943.52 × 9,418.20
  4. Step 4: Simplify right side
    14,463.24x = 187,832,060.06
  5. Step 5: Solve for x
    x = 187,832,060.06/14,463.24
  6. Step 6: Final answer
    x = 12,986.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.