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Finding the Fourth Proportional to 16,356.25, 24,534.78 and 5,968

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Solution

The fourth proportional to 16,356.25, 24,534.78 and 5,968 is: 8,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.25 : 24,534.78 = 5,968 : x
  2. Step 2: Convert to fraction form
    16,356.25/24,534.78 = 5,968/x
  3. Step 3: Cross multiply
    16,356.25x = 24,534.78 × 5,968
  4. Step 4: Simplify right side
    16,356.25x = 146,423,567.04
  5. Step 5: Solve for x
    x = 146,423,567.04/16,356.25
  6. Step 6: Final answer
    x = 8,952.15

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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.