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Finding the Fourth Proportional to 14,943.71, 20,617.40 and 9,642.06

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Solution

The fourth proportional to 14,943.71, 20,617.40 and 9,642.06 is: 13,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,943.71 : 20,617.40 = 9,642.06 : x
  2. Step 2: Convert to fraction form
    14,943.71/20,617.40 = 9,642.06/x
  3. Step 3: Cross multiply
    14,943.71x = 20,617.40 × 9,642.06
  4. Step 4: Simplify right side
    14,943.71x = 198,794,231.95
  5. Step 5: Solve for x
    x = 198,794,231.95/14,943.71
  6. Step 6: Final answer
    x = 13,302.87

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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.