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Finding the Fourth Proportional to 19,501.68, 29,172.24 and 16,219.20

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Solution

The fourth proportional to 19,501.68, 29,172.24 and 16,219.20 is: 24,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,501.68 : 29,172.24 = 16,219.20 : x
  2. Step 2: Convert to fraction form
    19,501.68/29,172.24 = 16,219.20/x
  3. Step 3: Cross multiply
    19,501.68x = 29,172.24 × 16,219.20
  4. Step 4: Simplify right side
    19,501.68x = 473,150,395.01
  5. Step 5: Solve for x
    x = 473,150,395.01/19,501.68
  6. Step 6: Final answer
    x = 24,262.03

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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.