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Finding the Fourth Proportional to 21,491.16, 32,223.80 and 9,642.75

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Solution

The fourth proportional to 21,491.16, 32,223.80 and 9,642.75 is: 14,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.16 : 32,223.80 = 9,642.75 : x
  2. Step 2: Convert to fraction form
    21,491.16/32,223.80 = 9,642.75/x
  3. Step 3: Cross multiply
    21,491.16x = 32,223.80 × 9,642.75
  4. Step 4: Simplify right side
    21,491.16x = 310,725,999.24
  5. Step 5: Solve for x
    x = 310,725,999.24/21,491.16
  6. Step 6: Final answer
    x = 14,458.32

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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.