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Finding the Fourth Proportional to 21,491.13, 32,223.73 and 9,642.75

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Solution

The fourth proportional to 21,491.13, 32,223.73 and 9,642.75 is: 14,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.13 : 32,223.73 = 9,642.75 : x
  2. Step 2: Convert to fraction form
    21,491.13/32,223.73 = 9,642.75/x
  3. Step 3: Cross multiply
    21,491.13x = 32,223.73 × 9,642.75
  4. Step 4: Simplify right side
    21,491.13x = 310,725,372.46
  5. Step 5: Solve for x
    x = 310,725,372.46/21,491.13
  6. Step 6: Final answer
    x = 14,458.31

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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.