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Finding the Fourth Proportional to 21,329.10, 31,993.35 and 9,642.30

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Solution

The fourth proportional to 21,329.10, 31,993.35 and 9,642.30 is: 14,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.10 : 31,993.35 = 9,642.30 : x
  2. Step 2: Convert to fraction form
    21,329.10/31,993.35 = 9,642.30/x
  3. Step 3: Cross multiply
    21,329.10x = 31,993.35 × 9,642.30
  4. Step 4: Simplify right side
    21,329.10x = 308,489,478.71
  5. Step 5: Solve for x
    x = 308,489,478.71/21,329.10
  6. Step 6: Final answer
    x = 14,463.31

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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.