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Finding the Fourth Proportional to 21,491.38, 32,246.04 and 9,477.46

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Solution

The fourth proportional to 21,491.38, 32,246.04 and 9,477.46 is: 14,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.38 : 32,246.04 = 9,477.46 : x
  2. Step 2: Convert to fraction form
    21,491.38/32,246.04 = 9,477.46/x
  3. Step 3: Cross multiply
    21,491.38x = 32,246.04 × 9,477.46
  4. Step 4: Simplify right side
    21,491.38x = 305,610,554.26
  5. Step 5: Solve for x
    x = 305,610,554.26/21,491.38
  6. Step 6: Final answer
    x = 14,220.15

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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.