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Finding the Fourth Proportional to 16,230.66, 24,349.95 and 9,572.82

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Solution

The fourth proportional to 16,230.66, 24,349.95 and 9,572.82 is: 14,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.66 : 24,349.95 = 9,572.82 : x
  2. Step 2: Convert to fraction form
    16,230.66/24,349.95 = 9,572.82/x
  3. Step 3: Cross multiply
    16,230.66x = 24,349.95 × 9,572.82
  4. Step 4: Simplify right side
    16,230.66x = 233,097,688.36
  5. Step 5: Solve for x
    x = 233,097,688.36/16,230.66
  6. Step 6: Final answer
    x = 14,361.57

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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.