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Finding the Fourth Proportional to 21,491.53, 32,237.29 and 9,017.43

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Solution

The fourth proportional to 21,491.53, 32,237.29 and 9,017.43 is: 13,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.53 : 32,237.29 = 9,017.43 : x
  2. Step 2: Convert to fraction form
    21,491.53/32,237.29 = 9,017.43/x
  3. Step 3: Cross multiply
    21,491.53x = 32,237.29 × 9,017.43
  4. Step 4: Simplify right side
    21,491.53x = 290,697,396.35
  5. Step 5: Solve for x
    x = 290,697,396.35/21,491.53
  6. Step 6: Final answer
    x = 13,526.14

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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.