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Finding the Fourth Proportional to 16,224.98, 24,334.70 and 4,535.46

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Solution

The fourth proportional to 16,224.98, 24,334.70 and 4,535.46 is: 6,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.98 : 24,334.70 = 4,535.46 : x
  2. Step 2: Convert to fraction form
    16,224.98/24,334.70 = 4,535.46/x
  3. Step 3: Cross multiply
    16,224.98x = 24,334.70 × 4,535.46
  4. Step 4: Simplify right side
    16,224.98x = 110,369,035.78
  5. Step 5: Solve for x
    x = 110,369,035.78/16,224.98
  6. Step 6: Final answer
    x = 6,802.42

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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.